Question

plss tell correct answer for it plss ineed answer fastly plzz, i taged photo see it

Answer 1

This is the answer u can refer to the pic angle DEC= 90 degree

Answer 2

• Measure of ∠DEC is 90°.

Step-by-step explanation:

To find:-

• Measure of ∠DEC.

Solution:-

AB || CD

Then

∠1 = 35° [Alternate interior angles]

We know,

Sum of all interior angles of triangle is 180°.

So,

$\leadsto$ ∠DEC + 55° + ∠1 = 180°

$\leadsto$ ∠DEC + 55° + 35° = 180°

$\leadsto$ ∠DEC + 90° = 180°

$\leadsto$ ∠DEC = 180° - 90°

$\leadsto$ ∠DEC = 90°

Verification:-

$\leadsto$ ∠DEC + 55° + ∠1 = 180°

$\leadsto$ ∠DEC + 55° + 35° = 180°

• Put x = 90°

$\leadsto$ 90° + 55° + 35° = 180°

$\leadsto$ 180° = 180°

$\boxed{\sf Hence \: Verified.}$

Therefore,

∠DEC is 90°.