Math  /  Geometry

QuestionAngle Pairs - Item 20549 One angle is 3636^{\circ}. What is the measure of its complement? CLEAR 5454^{\circ} 6464^{\circ} 144144^{\circ} 324324^{\circ}

Studdy Solution

STEP 1

1. Complementary angles are two angles whose measures add up to 90 90^\circ .
2. We are given one angle, 36 36^\circ , and need to find its complement.

STEP 2

1. Understand the concept of complementary angles.
2. Calculate the measure of the complementary angle.

STEP 3

Recall that complementary angles sum to 90 90^\circ . This means if one angle is given, the other angle can be found by subtracting the given angle from 90 90^\circ .

STEP 4

We are given one angle as 36 36^\circ . To find its complement, subtract this angle from 90 90^\circ :
9036 90^\circ - 36^\circ

STEP 5

Perform the subtraction:
9036=54 90^\circ - 36^\circ = 54^\circ
The measure of the complement of a 36 36^\circ angle is:
54 \boxed{54^\circ}

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