Question

2.1 Calculate the size of angle x and y. Give reasons for your answer. 2 у A B X 12 3 32° 1 2 D 4/9 6​

Answer 1

The values of the missing angles x and y are x = 32° and y = 45°

How to find the angle in the triangle?

We know that an Isosceles triangle is a type of triangle where the base angles are equal and as such:

We see that the base angle of triangle ABD are equal and as such:

∠ABD = ∠ADB = 32°

Thus: x = 32°

Similarly:

We see that the base angles of triangle ABD are equal and as such:

∠ACD = ∠ADC = (180 - 90)/2
∠ACD = ∠ADC = 45°

Thus:

y = 45°