Question

find the value of x in each case (solved both)​

Answer 1

Answer:

(I) X= 60° (opp.interior.angles)

(ii)4x+3x+40 = 11x-60 (ext.angle ppty.)

   7x+40=11x-60

   100 = 4x

∴x=25°

#answerwithquality #BAL

Step-by-step explanation:

Answer 2

1. In triangle ABC,

Angle A =60 degree

Angle B =45degree

Then, angle ACB =75 degree

Angle ACB=angle ECD (vertically opposite angles) angle ECD is equal to 75 degree

In triangle ECD we have ,

Angle D +angle E +angle ECD =180 degree ( angle sum property)

This imply,

80 + x+75 =180

155+X=180

X=180 -155

X=25 degree

2. 11x-60=3x+40+4x(exterior angle property)

11x-60=7x+40

11x-7x=40+60

4x=100

X=25 degree