Question

In the given figure, find the value of x.

Answer 1

Answer:

Refer to the attachment.

In BCD

Sum of all angles of triangle = 180°

Angle B + Angle C + Angle D = 180°

90° + Angle C + 40° = 180°

Angle C +130° = 180°

Angle C = 180°-130°

➡️Angle C = 50°

In ACD

Angle D = 55°+40°

= 95°

Sum of all angles of triangle = 180°

Angle A + Angle C + Angle D = 180°

Angle A + 50° + 95° = 180°

Angle A + 145° = 180°

Angle A = 180°-145°

➡️Angle A = 35°

☯️So, the value of x = 35°

♥️hope it will help you.♥️