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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