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# ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.

**Solution:**

Given, ABCD is a __trapezium__

AB || DC

∠A = ∠B = 45º

We have to find the angles C and D of the trapezium

We know that opposite angles in a __quadrilateral__ are always __supplementary__.

So, ∠B + ∠C = 180º

Given, ∠B = 45º

45 + ∠C = 180º

∠C = 180º - 45º

∠C = 135º

Similarly, ∠A + ∠D = 180º

Given, ∠A = 45º

45º + ∠D = 180º

∠D = 180º - 45º

∠D = 135º

Therefore, the angles C and D of trapezium is equal to 135º

**✦ Try This: **PQRS is a trapezium in which PQ || RS and ∠P = ∠Q = 60º. Find angles C and D of the trapezium.

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 8

**NCERT Exemplar Class 9 Maths Exercise 8.3 Problem 2**

## ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Find angles C and D of the trapezium.

**Summary:**

ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45º. Angles C and D of the trapezium are 135º each

**☛ Related Questions:**

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- E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF. Show that BFDE is a par . . . .

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