Question

8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees. Find x.

Answer 1

x=80 degrees

Explanation:

We are given that

ABC is a right triangle

Therefore, angle B=90 degrees

Angle A=a+b=135 degrees

Angle C=c+d=55 degrees

Angle D=x

We have to find the value of x.

We know that

In quadrilateral

Sum of all angles of quadrilateral=360 degree

`\angle A+\angle B+\angle C+\angle D=360^(\circ)`

`135+90+55+x=360`

`280+x=360`

`x=360-280`

`x=80`

x=80 degrees