Question

. In the adjoining figure, ABCD is a trapezium in which AB || DC. IF ∠A = 35° and ∠B = 75°, then find ∠C and ∠D.
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Answer 1

Step-by-step explanation:

given=ABCD is a trapezium in in which AB||DC.

angle A=35°

angle B=75°

then find angle c and angle d

A+B+C+D=360°

C?

35+75

=110°

D?

110-360

=250°

Answer 2

Given:-

• <A = 35°
• <B = 75°
• AB || DC

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To Find:-

Value of:

• <C
• <D

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✏️✏️Solution➠

<ECB = <B = 75°. (Alternate Interior Angle)

<C = 180° - 75°. (Linear Pair)

==> 105°

Now,

<FDA = <A = 35°. (Alternate Interior Angle)

<D = 180° - 35°. (Linear Pair)

==> 145°

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Answer:→

<C = 105° and <D = 145°