Question

PLZZZZZZ HELP ME WITH 10 QUESTIONS PLZZ 1. Stefan is measuring the angles of a triangle. He measures the first angle and gets a measure of 90°. What does he know about the other two angles? A) They are each 45°. B) They should add up to be 270° C) Their measures should add up to be 90° D) He doesn't know anything about the other two angles. 2) Donny is measuring the angles of a triangle. He measures the first two angles and gets 30° and 100°. How could he find the measure of the third angle? A) Subtract 100 and 30 from 180 since the three angles should sum up to 180°. B) Subtract 100 and 30 from 360 since the three angles should sum up to 360°. C) Add 100 and 30 since the third angle should be the sum of the first two angles. D) Add 100 and 30 and then double it since the third angle should be twice the sum of the first two. 3) Find m∠P in the diagram. A) 50 degrees B) 100 degrees C) 110 degrees D) 130 degrees 4) In trapezoid ABCD, find m∠A if m∠B= 25°, m∠C = 155° and m∠ D= 117°. A) 25° B) 63° C) 73° D) 92° 5) Find the value of x. A) 10 B) 50 C) 70 D) 130 6) Determine if the side lengths given form a triangle. Choose true or false if a triangle could be found. 13 in, 16 in, 24 in A) True B) False C) Neither D) 7) Determine if the side lengths given form a triangle. 24.3m, 7.4m, 5.9m A) True B) False C) Neither D) 8) In ΔABC, side AB is 8 units long and side BC is 25 units long. What cannot be the length of the third side? A) 18 B) 21 C) 27 D) 35 9) Identify if this is a complementary or supplementary angle and find the value of y. A) Complementary, y = 13 degrees B) Complementary, y = 103 degrees C) Supplementary, y = 13 degrees D) Supplementary, y = 103 degrees 10) In the figure, point E is on line DG. What is the measure of angle GEH? A) 35 degrees B) 51 degrees C) 120 degrees D) 141 degrees

Answer 1

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 

1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

They do not necessarily have to be both 45 degrees. So your answer would be C, their measure should add up to 90 degrees.

2. There are two angles measured: 100° and 30°. Remember the sum of all angles of a triangle is 180°.

180° = 100° + 30° + X

To get X, you transpose the 100° and 30° to the other equation and it will look like this:

180° - 100° - 30 °= X

Remember when you transpose, you use the opposite operation used. 

By following the steps, you can now solve for the missing angle. So your answer to this question is A.

As for number 3, without the figure, it is not possible to solve. 

For number 4, just remember that trapezoid angles should sum up to 360°.

Given that  m∠A = ?; m∠B = 25°; m∠C = 155°; and m∠D = 117° these should all add up to 360°. Let's write an equation for it:

m∠A + m∠B + m∠C + m∠D = 360°

X + 25° + 155° + 117° = 360°

Add up what you know first then we can derive the missing from what is given:

X +  297° = 360°

Transfer the 297° to the other side of the equation and subtract.

X = 360° - 297°
   = 63°

Your answer is then B. 

For number 5, without the figure, it cannot be answered.

For number 6, 7  and 8 we can use the Triangle Inequality theorem to determine if the given sides form a triangle. It states that the sum of 2 sides of a triangle should be greater than the other side. 

a + b > c         b + c > a       a + c > b

If all three conditions are met rule then you have a triangle. Now let's use your given.

6. a = 13in   b=16in and c= 24 in

Let's do this one after the other:
a + b > c                 b + c > a                 a + c > b
13 + 16 > 24           16 + 24 > 13           13 + 24 > 16 
29 > 24                    30 > 13                   37 > 16                   

Because all three conditions were met, then we can say that a triangle can be found. The answer is A.

7. a = 24.3m       b = 7.4m      c=5.9m

a + b > c                 b + c > a               
24.3 + 7.4 > 5.9     7.4 + 5.9 > 24.3    
31.7 > 5.9               13.3 > 24.3 False                                  

Because b+c is less than a, we can say that the given does not make a triangle. Your answer is B.

8. Using the same theorem and use trial and error to determine which is not plausible.

a = 8      b = 25   

if c = 18                   if c = 21                if c = 27                    if c = 35

8 + 25 > 18 True     8 + 25 > 21 True   8 + 25 > 27  True    8 + 25 > 35 False
25 + 18 > 8 True     25 + 21 > 8 True   25 + 27 > 35 True  
8 + 18 > 25 True     8 + 21 > 25 True   8 + 27 > 25  True
18 is possible          21 is possible       27 is possible           35 is not possible

Your answer is then D.


As for questions 9 and 10, it cannot be answered without the figure given.

But just remember that complementary angles are two angles that have a sum of 90° . Supplementary angles are two angles that sum up to 180°. 
 

Answer 2

Answer:

d

Step-by-step explanation: