Question

An exterior angle of a triangle is 80 degrees. The two interior opposite angles are equal. The measure of each of these angles equals ​

Answer 1

Answer:

Step-by-step explanation:

answer

2interior opposite angle = exterioir angle=80

80=x+x as they are equal

x=40

third angle +x+x=180 sum of an angle in a triangle is 180

2*40 + third angle=180

third angle =100

thus the three angles are 40 , 40 , 100

hope this help you

Answer 2

Let's consider the interior angle to be 'x'

We know that the interior angles are equal so the exterior angle would be equal to the sum of the interior opposite angles.

So we'll solve a equation to find the measure of the interior angles.

Let's solve your equation step-by-step.

x + x = 80

Step 1: Add the LHS.

x + x = 80

2x = 80

Step 2: Divide 2 by both sides of the equation.

2x = 80

2x ÷ 2 = 80 ÷ 2

x = 40

∴ The measure of each interior angle would be 40°