**Angle Pairs and Two Step Equations Worksheet :**

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

**Problem 1 :**

Find the measure of ∠EHF.

**Problem 2 : **

Find the measure of ∠ZXY.

**Problem 3 : **

Find the measure of ∠JML.

**Problem 1 :**

Find the measure of m∠EHF.

**Step 1 : **

Identify the relationship between m∠EHF and m∠FHG.

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

m∠EHF and m∠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 each side.

2x = 132°

Divide each side by 2.

x = 66°

**Step 3 : **

Find the measure of m∠EHF.

m∠EHF = 2x

m∠EHF = 2(66°)

m∠EHF = 132°

So, the measure of m∠EHF is 132°.

**Problem 2 : **

Find the measure of m∠ZXY.

**Step 1 : **

Identify the relationship between m∠WXZ and m∠ZXY.

m∠WXZ and m∠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 each side.

4x = 48°

Divide each side by 4.

x = 12°

**Step 3 : **

Find the measure of m∠EHF.

m∠ZXY = 4x + 7°

m∠ZXY = 4(12°) + 7°

m∠ZXY = 48° + 7°

m∠ZXY = 55°

So, the measure of m∠ZXY is 55°.

**Problem 3 : **

Find the measure of m∠JML.

**Step 1 : **

Identify the relationship between m∠JML and m∠LMN.

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

m∠JML and m∠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 each side.

3x = 126°

Divide each side by 3.

x = 42°

**Step 3 : **

Find the measure of m∠JML.

m∠JML = 3x

m∠JML = 3(42°)

m∠JML = 126°

So, the measure of m∠JML is 126°.

After having gone through the stuff given above, we hope that the students would have understood how to solve problems on angle pairs and two step equations.

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