Question

In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°

Answer 1

m<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21

m<2 = 3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60

m<3 = m<2 = 60

answer
60°

Answer 2

The measure of angle m∠3 would be 60°.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Given;

g ∥ h, m∠1 = (4x + 36)°,

m∠2 = (3x – 3)°.

m∠2 = m∠3 ( alternate interoir angle)

we know that

m∠1 + m∠2 = 180

4x + 36 + 3x – 3 = 180

7x + 33 = 180

7x = 147

x = 21

Substituting

m∠2 = 3x – 3

m∠2 = 3(21) - 3

m∠2 = 63 - 3

m∠2= 60

Therefore, m∠3 = m∠2 = 60

Hence, The measure of angle m∠3 would be 60°.

Learn more about the triangles;

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