Use the image below to determine the type of angle pair,
1 answer:
Answer:
Name: alternate exterior angles
Relationship: they are congruent. (15x + 5)° = (14x + 11)
Value of x: 6
Missing angle measures: 95°
Step-by-step explanation:
The two angles given, (15x + 5)° and (14x + 11)°, are both alternate exterior angles that lie outside the parallel lines, with each lying in the opposite direction to each other on the transversal that crosses the parallel lines. This type of angle pair is: alternate exterior angles.
The relationship that exist between this type of angle pair is: alternate exterior angles are congruent. Therefore, (15x + 5)° = (14x + 11)°.
Use the above stated equation derive from the relationship to find the value of x:
Combine like terms
(Subtraction property of equality)
(Subtraction property of equality)
Plug in the value of x into the expression of each missing angle to find their measures:
(15x + 5)° = 15(6) + 5 = 90 + 5 = 95°
(14x + 11)° = 14(6) + 11 = 84 + 11 = 95°
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Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.