Question

find the unknown marked angle in each of the following figure ​

Answer 1

Answer: y = 40 degrees and x = 35 degrees

Step-by-step explanation:

In triangle ABC

angle a = angle b ( it’s and isosceles triangle with 2 same sides)

Angle b = 70

Angle a + angle b + angle c = 180 ( angle sum property)

70 + 70 + c = 180

c = 180 - 140

c = 40 degrees

y = 40 degrees

In triangle DAB

Angle DBA + angle ABC = 180

DBA + 70 = 180

DBA = 180 - 70

DBA = 110 degrees

Angle DAB = angle ADB

= (180 - 110)/2 = 35 degrees

Therefore x = 35 degrees