Question

*The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are ……………..*

1️⃣ 45°, 75°
2️⃣ 50°, 80°
3️⃣ 85°, 55°
4️⃣ 55°, 95°


ʟᴏ ᴘᴏɪɴᴛꜱ​

Answer 1

Step-by-step explanation:

Given, x,y and 40 are the angles of a triangle.

Therefore, x+y+40=180

x+y=140

The difference between the two angles x and y is 30.

Therefore, x−y=30 ....(2)

Add equations (1) and (2), we get

2x=170

⇒x=85

Substitute this value n equation (2), we get

85−y=30

⇒y=85−30

⇒y=55

Therefore, angles of a triangle are x=85, y=55 and 40.