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
Oduvanchick [21]
3 years ago
6

Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Exterior Angle Property

Step-by-step explanation:

Interior Angle :

The angle formed with in the closed boundary of the triangle is called an interior angle.

In the given figure,  α ,  β and γ are interior angles.

Exterior Angles:

The angle formed outside the closed boundary of the triangle is called an exterior angle.

In the given figure,  γ' is an exterior angles.

Sum of the measures of the two non-adjacent interior angles  is EQUAL to  measure of an exterior angle of a triangle.

⇒   α +    β   = γ'

This property is known as " Exterior Angle Property"

Also, here angles  γ and γ' are making a linear pair.

γ +     γ'  =  180°

You might be interested in
What is 5 multiplied by 2
OleMash [197]
10.

5 multiplied by 2 "5 x 2" = 10
6 0
2 years ago
WILL GIVE BRAINLIEST PLEASE HELP
Debora [2.8K]

Answer:

the 3 one is the correct answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the negative coterminal angle of 165 degrees ?
kipiarov [429]

Answer:

-195 degrees

Step-by-step explanation:

we can subtract 360 from 165 to find the negative coterminal angle.

165-360=-195

8 0
2 years ago
Read 2 more answers
In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
Inessa [10]

Answer:

measure of exterior angle  at  C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles.  So,

m∠A + m∠B = measure of exterior angle  at  C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle  at  C = 16x = 16(10) = 160°

7 0
2 years ago
You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and xx djembe
ELEN [110]

Answer: An equation we can use to find the number of djembe drums you sold be

12m+6c+dxx=$326

Step-by-step explanation:

Let price of maracas be m

Let the price of claves be c

Let the price of djembe drums be d

Number of maracas = 12 sets

Number of clavas = 6 sets

Number of djembe drums be xx

Total earned amount = $326

According to question,

12m+6c+dxx=$326

Hence, an equation we can use to find the number of djembe drums you sold be

12m+6c+dxx=$326

5 0
3 years ago
Read 2 more answers
Other questions:
  • What’s 1 over x to the 9th power
    9·1 answer
  • Roland had $10,500 in medical expenses last year and has no medical insurance. The IRS allows medical expense deductions for the
    10·1 answer
  • What's the next fraction after 45/60
    15·2 answers
  • Given that the measure of ∠x is 73°, and the measure of ∠y is 40°, find the measure of ∠z.
    12·1 answer
  • The mean temperature for the first 4 days in January was 7°C. The mean temperature for the first 5 days in January was 9°C. What
    10·2 answers
  • 6th grade math... anybody can help ?! :)
    12·1 answer
  • Name the property shown by the statement a + (b + 2) = (a + b) + 2
    10·1 answer
  • Convert the following equations from standard form to slope-intercept form.
    13·1 answer
  • Please please help me omg I give 28 points
    10·2 answers
  • There are 32 students in the class. They are separated into groups of five and one group of seven. How many, g groups of five we
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!