Question

For what value of a does m∠1=90
126
138
150
180

Answer 1

`x=150`

Explanation:

we know that

sum of all angles around inscribed a point is always 270

so,

first angle is 42

second angle is x-12

third angle is <1

so, we get

<1 +42 +x-12=270

we can plug <1=90

`90+42+x-12=270`

`90+42+x-12=270`

`x+120=270`

`x=150`