Question

in the given figure, find the value of x​

Answer 1

Step-by-step explanation:

In tr.ABC

by angle sum property,

30⁰+34⁰+<ABC=180⁰

<ABC=180⁰-64⁰=116⁰

So,by linear pair property

<CBD+116⁰=180⁰. b

<CBD=180⁰-116⁰=64⁰

As we know exterior angle is equal to sum of opposite interior angles.

Therefore,x=64⁰+45⁰=109⁰

Answer 2

Answer:

x = 109

sum tothe two interior angles equal to exterior angle

angle CAB + angle ACB = angle CBD

angle CBD = 64 degree

similarly

angle CBD + angle BDE= X(angle CED)

x = 109 degree