Question

Find the value of x in the adjoining figure.​

Answer 1

Answer:

Hi

Step-by-step explanation:

The value of x

It's given that two sides are parallel to each other then their opposite angles will be equal Let it be y and z

Then y=z(1)

90°+y+z=180°(Angle sum property)

90+y+y=180°( By using (1))

2y=180°-90°

2y=90°y=90°/2=45°

y=z=45°

Then x+ 45=180° (By linear pair)

x=180°-45°=135°

Answer 2

Answer:

Value of x in the adjoining figure is 135 degrees

Step-by-step explanation:

Since two sides of this triangle are equal so the two angles of corresponding sides are also equal (let the value of equal angles be m) . It's given that third angle is 90 degrees.

This implies that m+m+90=180

( two angles are equal having value m )

2m+90=180

2m=180-90

m=90÷ 2

m=45

Since m and x are in linear pair

This implies that m+x=180

45+ x= 180

x= 135 Ans