Question

What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
A
62°
20

Answer 1

Answer:

28

Step-by-step explanation:

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

x + 62 = 90

x = 28

Answer 2

Answer:

$\sf x=28^{\circ}$

Step-by-step 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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