Question

angle 1 = 43°
angle 2 = 94°
angle 3 = 32°
find out the measure of angle 4​

Answer 1

Answer:

In triangle ACD

angle (1)+angle C=angle(2) {Exterior angle=sum of interior opposite angle)

43°+angle C=94

angle C=94°-43°

=51°

Now,

In triangle ABD

angle ACD+angle ACB=180(linear pair or sum of angles in a straight line)

51°+angle ACB=180

angle ACB=180°-51°

angle ACB=129°

Now,

In triangle ABC

angle A=32°

angle A+angle B+angle C=180(Sum of angles of a triangle=180°)

32°+angle B+129°=180

angle B+161=180

angle B=180-161

angle B=19°

Since,angle B=angle 4

Hence,angle 4=19°