Question

What is the value of m < a + m < b

34°

56°

90°

180°

Answer 1

90°

Explanation:

step 1

Find the measure of angle b

we know that

(m∠b+90°)=124° ----> by vertical angles

so

m∠b=124°-90°

m∠b=34°

step 2

Find the measure of angle c

(m∠c+124°)=180° ----> by supplementary angles (form a linear pair)

m∠c=180°-124°

m∠c=56°

step 3

Find the measure of angle a

m∠a=m∠c ----> by vertical angles

so

m∠a=56°

step 4

Find the value of m∠ a + m∠b

m∠a=56°

m∠b=34°

m∠ a + m∠b=56°+34°

m∠ a + m∠b=90°