Question

tell me
answer in step small​

Answer 1

Answer: We can find the angle by dividing 90 degree by 3x then the value of x will be find.

Now , we know that the sum of any two angles opposite to equal sides is equal to the angle made by the intersection of the two equal sides.

Therefore the angle is 15

Step-by-step explanation:

Answer 2

Hello Mate,

Here is your answer,

Given: angle P is 90° (total angle)

As it is divided into three equal parts labeled as 'x', all three parts must be equal to 90°.

So,

x + x + x = 90°

3x = 90°

x = 30°

Given: Triangle PQR is isoceles,

So,

Let Angle PQS = angle PRT = y°

Angle (PQS + PRT + RPQ) = 180°

(angle sum property of triangle)

90 + y + y = 180°

2y = 90°

y = 45°

Angle PQS = Angle PRT = 45°

Now take a look at triangle PQS,

Angle SPQ = x° = 30°

Angle PQS = y° = 45°

So,

Remaining angle => PSQ

Angle PSQ = 180 - (x + y)

(angle sum property of triangle)

Angle PSQ = 180 - (30 + 45)

= 180 - 75

= 105°

Angle PSQ = 105°

From the figure, PSQ + PST = 180°

(Linear Pair)

105 + PST = 180°

PST = 180 - 105

PST = 75°

Hope it helps:)