Question

please help with the problem above ​

Answer 1

Answer :

The measure of ∠f is 108°

Step-by-step explanation :

To Find,

• The measure of ∠f

Solution,

Given that,

• PQ || RS
• a : b = 3 : 2

Therefore,

Let us assume a and b as 3x and 2x respectively,

➮ 3x + 2x = 180 ..... supplementary angle

➮ 5x = 180

➮ x = 180 / 5

➮ x = 36

The value of x is 36.

Therefore, angles are :-

The angle which we assumed as 2x

➮ 2x

➮ 2 × 36

➮ 72°

The angle which we assumed as 3x

➮ 3x

➮ 3 × 36

➮ 108°

Therefore, the angles are, 36° and 108°.

According the question, we need to find out the measure of ∠f, Therefore,

➮ ∠a = ∠f ........ corresponding angle

➮ ∠f = 108°

Hence, the measure of ∠f is 108°