## Recall that two angles are complementary if the sum of their measures is 90degrees°. Find the measures of two complementary angles if one an

Question

Recall that two angles are complementary if the sum of their measures is 90degrees°. Find the measures of two complementary angles if one angle is 66 degrees° more than threethree times the other angle.

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2 weeks 2021-09-08T05:50:23+00:00 2 Answers 0

24

How:

90-66=24

Since complementary angles add up to 90 degrees it’s quite simple just subtract to find the number of the unknown angle.

84 degrees and 6 degrees

Step-by-step explanation:

Let’s use x to describe the unknown value of the second angle.

The first angle is 66 degrees more than 3 times the second angle. This can be represented as: 3x + 66

The other angle is x.

The two angles combined equals 90, so in order to find the value of x, let’s use this equation:

3x + 66 + x = 90

Combine like terms

4x + 66 = 90

Isolate the 4x by subtracting 66

4x = 24

Isolate the x by dividing both sides by 4

x = 6

use this value of x to solve for the measures of the 2 angles.

Angle 1: 3(6) + 66 = 18 + 66 = 84

Angle 2: 6 degrees

We know these measures are correct because 84 + 6 = 90