Question

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

Answer 1

Answer:

Part a) $m\angle a=30^o$  (see the explanation)

Part b) $m\angle b=90^o$  (see the explanation)

Step-by-step explanation:

Part a) Find the measurement of angle a

we know that

$m\angle a+150^o=180^o$ ---> by supplementary angles (form a linear pair)

$m\angle a=180^o-150^o$

$m\angle a=30^o$

Part b) Find the measurement of angle b

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem

$m\angle b+m\angle a+60^o=180^o$

substitute the given values

$m\angle b+30^o+60^o=180^o$

$m\angle b=180^o-90^o$

$m\angle b=90^o$

Answer 2

Answer:

m∠a + 150°=180°

m∠a = 30°

m∠b + 30° + 60° =180°

m∠b = 90°