2 Answers

TerryS · Answer 1 · 2021-03-16T06:58:57+0000

Answer:

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

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

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

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

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

$m\angle b=90^o$

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