Question

find the value of x and y in the following figure ​

Answer 1

Answer:

X=50*; Y=130*

Step-by-step explanation:

Answer 2

Answer :

a) The measure of x and y is

➮ x = 67.5°

➮ y = 112.5°

b) The measure of x and y is

➮ x = 135°

➮ y = 75°

Step-by-step explanation :

a) To Find,

• The measure of x and y

Solution,

As it is an isosceles triangle, then, the measure of x is,

➮ x + 45 + x = 180 .... by angle sum property of triangle

➮ x + 45 + x = 180

➮ 2x + 45 = 180

➮ 2x = 180 - 45

➮ 2x = 135

➮ x = 135 / 2

➮ x = 67.5 ★

Therefore, the measure of x is 67.5°.

Now, the measure of y,

➮ x + y = 180° ..... supplementary angle

➮ 67.5 + y = 180

➮ y = 180 - 67.5

➮ y = 112.5 ★

Therefore, the measure of y is 112.5°.

b) To Find,

• The measure of x and y

Solution,

The measure of x is,

➮ x + 45 = 180 ..... supplementary angle

➮ x = 180 - 45

➮ x = 135 ★

The measure of x is 135°.

The measure of y is,

First we need to find out the measure of other linear pair of x ... [ we got x as 135° ]

➮ 180 - 135

➮ 45

Therefore, the measure of the other linear pair of x is 45,

➮ y + 60 + 45 = 180 ... by angle sum property of triangle

➮ y + 60 + 45 = 180

➮ y + 105 = 180

➮ y = 180 - 105

➮ y = 75 ★

The measure of y is 75°.