# ANGLE PAIRS AND TWO STEP EQUATIONS WORKSHEET

## About "Angle pairs and two step equations worksheet"

Angle pairs and two step equations worksheet :

Worksheet on angle pairs and two step equations is much useful to the students who would like to practice problems on solving for the unknown angle using two step equations.

## Angle pairs and two step equations worksheet -  Problems

1.  Find the measure of angle <EHF.

2.  Find the measure of angle <ZXY.

3.  Find the measure of angle <JML.

## Angle pairs and two step equations worksheet - Solution

Problem 1 :

Find the measure of angle <EHF.

Step 1 :

Identify the relationship between <EHF and <FHG.

Since angles <EHF and <FHG form a straight line, the sum of the measures of the angles is 180°.

<EHF and <FHG are supplementary angles.

Step 2 :

Write and solve an equation to find x.

The sum of the measures of supplementary angles is 180°.

m<EHF + m<FHG  =  180°

2x + 48° = 180°

Subtract 48° from both sides.

(2x + 48°) - 48°  =  180° - 48°

2x  =  132°

Divide both sides by 2.

(2x) / 2  =  (132°) / 2

x  =  66°

Step 3 :

Find the measure of <EHF.

m<EHF  =  2x

m<EHF  =  2(66°)

m<EHF  =  132°

Hence, the measure of <EHF is 132°.

Problem 2 :

Find the measure of angle <ZXY.

Step 1 :

Identify the relationship between <WXZ and <ZXY.

<WXZ and <ZXY are supplementary angles.

Step 2 :

Write and solve an equation to find x.

The sum of the measures of complementary angles is 90°.

m<WXZ + m<ZXY  =  90°

4x + 7° + 35° = 90°

4x + 42°  =  90°

Subtract 42° from both sides.

(4x + 42°) - 42°  =  90° - 42°

4x  =  48°

Divide both sides by 4.

(4x) / 4  =  (48°) / 4

x  =  12°

Step 3 :

Find the measure of <EHF.

m<ZXY  =  4x + 7°

m<ZXY  =  4(12°) + 7°

m<ZXY  =  48° + 7°

m<ZXY  =  55°

Hence, the measure of <ZXY is 55°.

Problem 3 :

Find the measure of angle <JML.

Step 1 :

Identify the relationship between <JML and <LMN.

Since angles <JML and <LMN form a straight line, the sum of the measures of the angles is 180°.

<JML and <LMn are supplementary angles.

Step 2 :

Write and solve an equation to find x.

The sum of the measures of supplementary angles is 180°.

m<JML + m<LMN  =  180°

3x + 54° = 180°

Subtract 54° from both sides.

(3x + 54°) - 54°  =  180° - 54°

3x  =  126°

Divide both sides by 3.

(3x) / 3  =  (126°) / 3

x  =  42°

Step 3 :

Find the measure of <EHF.

m<JML  =  3x

m<JML  =  3(42°)

m<JML  =  126°

Hence, the measure of <JML is 126°.

After having gone through the stuff given above, we hope that the students would have understood "Angle pairs and two step equations worksheet".

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