Question

A triangle has one angle measuring 90° and a second angle measuring 25°.

What is the measure of the third angle?

Answer 1

We will solve it using the angle sum property of triangle. The property states that the sum of all angles of a triangle is equal to 180°.

In our case, We are given two angles and we have to find the third angle.. So, we will let the third angle be x...

`\sf : \leadsto∠1 + ∠2 + ∠3 = 180 \degree`

• ∠1 = 90°
• ∠2 = 25°
• ∠3 = x

`\sf : \leadsto90 + 25 + x = 180 \degree`

• [Add the numbers]

`\sf : \leadsto115+ x = 180 \degree`

• [Move the constant to the right-hand side and change its sign]

`\sf : \leadsto \: x = 180 - 115`

• [Subtract the numbers]

`\sf : \leadsto \: x =65 \degree`

➪ Henceforth, The measure of the third angle is 65°...~