# Two angles of a quadrilateral each measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.

**Solution:**

Given two angles of a __quadrilateral__ each measures 75°.

The other two angles are equal.

We have to find the measure of these angles and the type of the quadrilateral.

Consider a quadrilateral ABCD,

Let ∠A = ∠C = 75°

Let the other two angles ∠B = ∠D = x°

We know that the sum of all angles of a quadrilateral is 360 degrees.

So, ∠A + ∠B + ∠C + ∠D = 360°

75° + x + 75° + x = 360°

150° + 2x = 360°

2x = 360° - 150°

2x = 210°

x = 210°/2

x = 105°

The other angles are 105° each.

We know that the opposite angles of a __parallelogram__ are equal.

Therefore, the given quadrilateral is a parallelogram.

**✦ Try This: **Two angles of a quadrilateral each measure 60° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 164**

## Two angles of a quadrilateral each measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.

**Summary:**

Two angles of a quadrilateral each measure 75° and the other two angles are equal. The measure of these two angles are 105° each. The possible figure formed is a parallelogram.

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