Question

What is the measure of Zx?

Angles are not necessarily drawn to scale.
B
A
62°
20

Answer 1

28

Explanation:

You can see there is a right angle formed by 62 and x, so:

x + 62 = 90

x = 28

Answer 2

`\sf x=28^(\circ)`

Explanation:

The diagram given shows that ∠AOB and ∠BOC are complementary angles.

(When 2 angles measure adds up to 90° they are called complementary angles and when they add up to 180° they are called supplementary angles.)

`\sf m \angle AOB +m \angle BOC=90^(\circ)`
`(\sf Complementary\: angles)`

`\sf \angle AOB + \angle BOC=90^(\circ)`

`\sf 62^(\circ)+x=90^(\circ)`

Subtract 62 from both sides:

`\sf 62^(\circ)+x-62^(\circ)=90^(\circ)-62^(\circ)`

`\sf x=28^(\circ)`

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