Question

. The base angles A and B of a trapezium ABCD measure 110° and 120° respectively. Find the angles C and D.

Answer 1

Step-by-step explanation:

As we know

AB is parallel to CD

so,C=180-110

=70°

D=180-120

=60°

so,

C=70°

D=60°

Answer 2

Answer:

C= 60° and D=70°

Step-by-step explanation:

Concept= Angles of Trapezium

Given= Two angles of Trapezium ABCD

To Find= The unknown two angles

Explanation=

We have been given a Trapezium ABCD with the two angles A and B.

We need to find the unknown two angles C and D.

Angle A=110 °

Angle B= 120

We know that in a Trapezium the opposite two sides are parallel.

So here the side AB and CD are parallel.

The property of interior angles sum is 180 holds here as well.

So the interior angle with A is D and the interior angle with B is C.

Therefore the sum of interior angles is 180

So to find angle C , the interior angles are B and C

therefore B+C=180

120+C=180

c=180-120=60

and to find angle D we have interior angle A and D

therefore A+D=180

110+D=180

D=180-110=70

So, the unknown angle C is 60 and the Unknown angle D is 70.

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