Question

X and Y are complementary angles Y and Z are suppllementary angles. If X =45 degrees, find the measure of Z​

Answer 1

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X and Y are complementary angles and Y and Z are supplementary angles. If X =45 degrees, find the measure of Z.

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X and Y are complementary angles.

Y and Z are supplementary angles.

X = 45°

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The measure of Z.

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We know that:

$\small\pink{\boxed{\pink{Sum  of  two  complementary  angles = 90°}}}$

$\small\blue{\boxed{\blue{Sum  of  two  supplementary  angles = 180°}}}$

∴ X + Y = 90

➳ 45 + Y = 90

➳ Y = (90 - 45)

➳ Y = 45

Y = 45

∴ Y + Z = 180

➳ 45 + Z = 180

➳ Z = 180 - 45

➳ Z = 135

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Z = 135°

$\huge\bold{{\pink{T}}{\blue{H}}{\green{E}}{\red{R}}{\purple{E}}{\orange{F}}{\pink{O}}{\blue{R}}{\red{E}}{\green{❥}}}$

The measure of Z is 135°.

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