Question

Complete the statements to find the measurements of ∠a and ∠b .

Find the measurement of ∠a.

m∠a +
°=180°

m∠a =
°
Find the measurement of ∠b.

m∠b +
° +
° =180°

m∠b =
°

Answer 1

Explanation:

We know that a straight angle is equal to 180°. Therefore, 120°+(a)=180°

We can solve for (a) by subtracting 120 from 180, which is 60.

180-120=60

m∠a+120°=180°

m∠a=60°

We know that the sum of all angles in a triangle is 180°.

Therefore, (a)+60°+(b)=180°

We know that (a) is equal to 60°, so our new equation is:

60°+60°+b=180°

60+60=120

180-120=60

m∠b+60°+60°=180°

m∠b=60°