Question

If a b parallel angle bac equal to 35 degree and angle c d equal 53 degree find angle dce

Answer 1

Here Is Your Answer:-=====================⤵

Prove “if two lines intersect each other, then the vertically opposite angles are equal.”

Let AB and CD be two lines intersecting at O. Ray OE bisects ∠AOB and OF is the ray opposite to OE.

Answer 2

Hello mate ☺

____________________________

Solution:

It is given that AB∥DE. Therefore, ∠BAC=∠DEC              (Alternate Interior Angles)

∠BAC=35°      (Given)

Therefore, ∠DEC=35°

In ∆DCE, we have

∠DEC+∠CDE+∠DCE=180°         (Sum of three angles of a triangle =180°)

⇒35°+53°+∠DCE=180°

⇒∠DCE=180°−35°−53°=92°

I hope, this will help you.☺

Thank you______❤

_____________________________❤