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Mathematics

Grade9

Easy

Question

The value of x is _______.

55°
11°
12°
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: 12°

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.

Here, $angle$ WXZ = 35 $degree$ and $angle$ ZXY = 4x + 7 $degree$
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
So, $angle$ WXZ + $angle$ ZXY = 90 $degree$
$35 degree plus 4 x plus 7 degree equals 90 degree 4 x equals 90 degree minus 42 degree 4 x equals 48 degree x equals fraction numerator 48 degree over denominator 4 end fraction x equals 12 degree T h u s comma space t h e space v a l u e space o f space x space space i s space 12 degree$

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