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Step-5

Title: Pairs of angles

Grade: 10-a Lesson: S1-L3

Explanation:

Step	Type	Explanation	Answer
1	Problem	The difference between two given complementry angles is 22°. Find the measure of the angle.
2	Step	Given	The difference between two given complementry angles is 22°
3	Step	One angle	Let one angle is measurem x°
4	Hint	Then complemetry angle	x° = (90° - x)
5	Step	Then equation one and complementry	(90° - x) - x = 22°
6	Step	After simplication	90 -2x = 22
7	Step	After simplication	-2x = -68
8	Step	After simplication	x = \$(\cancel(68)^34) /(\cancel(2)^1)\$
9	Step	After simplication	x = 34°
10	Step	Now Substitute the value of x	x° = (90° - 34°)
11	Step	After simplication	x = 56°
12		Answer	The two angles 34° and 56°

Step

Type

Explanation

Answer

Problem

The difference between two given complementry angles is 22°. Find the measure of the angle.

Step

Given

The difference between two given complementry angles is 22°

Step

One angle

Let one angle is measurem x°

Hint

Then complemetry angle

x° = (90° - x)

Step

Then equation one and complementry

(90° - x) - x = 22°

Step

After simplication

90 -2x = 22

Step

After simplication

-2x = -68

Step

After simplication

x = \$(\cancel(68)^34) /(\cancel(2)^1)\$

Step

After simplication

x = 34°

Step

Now Substitute the value of x

x° = (90° - 34°)

Step

After simplication

x = 56°

Answer

The two angles 34° and 56°