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

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

Answer:

x=80 degrees

Step-by-step 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

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