1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cluponka [151]
3 years ago
9

Find the measure of angles 1–12 in the complex figure. Explain how you found each angle measure.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
I'll start with the triangle figure. 
Interior angles of a triangle is equal to 180°. The given triangle is an Isosceles triangle. It has 2 equal sides and 2 equal angles.

#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
#8 is 111°. As I said, isosceles triangle has 2 equal angles. The angle that is beside #8 is 69°, equal to #7. So, 180° - 69° = 111°
Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°

#9 = 116° ; alternate interior angles are equal.
#10 = 180° - 116° = 64°

The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.

360° / 6 = 60°
#1, #2, #5, and #6 = 60° each
#11 = 60° - equilateral triangle, all interior angles are equal.
#12 = 30°; 180° - 90° - 60° =  30°

You might be interested in
Can someone please help me with this question? The topic is Connecting Models and Symbols. I don't know how to draw a model with
svlad2 [7]

Answer:

The number 690 is called the numerator or dividend, and the number 8 is called the denominator or divisor. The quotient of 690 and 8, the ratio of 690 and 8.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How are rational numbers written as decimals
Alja [10]

Answer:

Any terminating or repeating decimal that can be written as a fraction using algebraic methods

Step-by-step explanation:

a integer can be written as fraction simply by giving it a denominator so any integer is a rational number

8 0
3 years ago
Calculate the net profit margin for a
Tanzania [10]
The answer is D, 14 percent
3 0
2 years ago
Read 2 more answers
T-T help me I can't think
BartSMP [9]

Answer:

81 square inches

Step-by-step explanation:

area of a square= s^2

7 0
3 years ago
Hello!
avanturin [10]

Answer:

  • 7.71 km²

Step-by-step explanation:

<u>Area of triangle:</u>

  • A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

<em>See attached for details</em>

  • sin 40° = h/4
  • h = 4 sin 40°
  • h = 2.57 km

<u>The area is:</u>

  • A = 1/2*6*2.57 = 7.71 km²

6 0
2 years ago
Read 2 more answers
Other questions:
  • Given f(x) = 4x + 13 and g(x) = 10x − 2, solve for (f + g)(x) and select the correct answer below. (f + g)(x) = 14x + 15 (f + g)
    10·1 answer
  • NEED ANSWER ASAP PLEASE!!
    8·1 answer
  • Name the figure. Select all answers that apply.
    12·1 answer
  • Circle geometry help?
    8·1 answer
  • To convert 29 metric tons to grams, move the decimal point to the right or left?
    9·2 answers
  • 11. -2+b&lt;3
    6·1 answer
  • Yuri has a rope 12m long. he cuts it into pieces that are each 2m long. what fraction of the rope is one piece
    11·2 answers
  • Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).
    12·1 answer
  • Robyn has a 2" wide board and a 1 1/2" wide board. She would like to cut the narrower board at an angle so the is 2" long and th
    8·1 answer
  • Mrs. Chin paid a 20 percent tip on the bill for lunch.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!