Question

One of angle of a the triangle is equal to the sum of the other two angles. If the ratio of the other two angles is 1:2, find the angles of triangles​.

Answer 1

Answer:

Angle a & other two angles are

90°,60°&30° respectively.

Step-by-step explanation:

The angle of the two other angle are:

According to the question:

Angle a = the sum of other two angles

So, angle a= 180°/2=90° & the sum of other two angles=180°/2=90°

Therefore, the other two angles are:

1/3×90°=30° & 2/3×90°=60°.

Hence, the angles are 90°,60°&30°.

Verify: angle a=the sum of other two angles

or,90°=(60°+30°)

or,90°=90°.