Question

Find the value of all angles in the given
figures:
(a)
C С
B
E (2x +8°
(x+15)°
(3x + 12)
0
(3x + 5)
O
F
A​

Answer 1

Answer:

Given angles of a quadrilateral are 2x,2x+15,4x−12,3x−0.5

As we know that

Sum of angles in a quadrilateral is 360

⟹2x+2x+15+4x−12+3x−0.5=360

⟹11x=360−2.5

⟹x=

11

357.5

=32.5

2x=2(32.5)=65,2x+15=65+15=80,4x−12=4(32.5)−12=130−12=118,3x−0.5=3(32.5)−0.5=97

So the angles are 65,80,118,97