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Mathematics

Grade9

Easy

Question

The measure of angle x is _______

685°
31°
22°
90°

hint Hint:

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The correct answer is: 22°

Here $angle$ AOZ = 90 $degree$
and $angle$ AOB + $angle$ BOZ = $angle$ AOZ = 90 $degree$
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
$angle$ AOB = x $degree$ and $angle$ BOZ = 68 $degree$
So, 68° + x° = 90°
x = 90° - 68° = 22°.
The measure of angle x is 22 $degree$

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