The exterior angle is equal to the sum of the two opposite interior angles.

**Problem 1 :**

**Solution :**

Exterior angle = 125

Remote interior angles are 70 and a.

Exterior angle = Sum of two remote interior angles

125 = 70 + a

a = 125-70

a = 55

So, the value of a is 55.

**Problem 2 :**

**Solution :**

Exterior angle = a

Remote interior angles are 90 and 35.

Exterior angle = Sum of two remote interior angles

a = 90+35

a = 125

So, the value of a is 125.

**Problem 3 :**

**Solution :**

Exterior angle = a

Remote interior angles are 45 and 101.

Exterior angle = Sum of two remote interior angles

a = 45+101

a = 146

So, the value of a is 146.

**Problem 4 :**

**Solution :**

Exterior angle = 132

Remote interior angles are a and 63.

Exterior angle = Sum of two remote interior angles

132 = a+63

a = 132-63

a = 69

So, the value of a is 69.

**Problem 5 :**

**Solution :**

Exterior angle = 117

Remote interior angles are a and 62.

Exterior angle = Sum of two remote interior angles

117 = a+62

a = 117-62

a = 55

So, the value of a is 55.

**Problem 6 :**

**Solution :**

Exterior angle = a

Remote interior angles are 90 and 40.

Exterior angle = Sum of two remote interior angles

a = 90+40

a = 130

So, the value of a is 130.

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