233k views
3 votes
8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees. Find x.

8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees-example-1
User Weirdpanda
by
6.9k points

1 Answer

0 votes

Answer:

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

User Denismo
by
6.5k points