Question

the largest angle of a triangle is equal to the sum of other 2 angles. the smallest angle is 7/15 of the largest angle. find the angles of the triangle

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

• The largest angle of a triangle is 90°

• The other two smallest angles are 42° and 48°.

Given :

• The largest angle of a triangle is equal to the sum of other 2 angles.

• The smallest angle is 7/15 of the largest angle.

To find :

• The angles of the triangle =?

Step-by-step explanation:

Let the largest angle of a triangle be A and the two smallest angel be B° and C°.

If the measure of the largest angle is equal to the sum of other two angle .Then the largest angel= 180°/2 = 90°.

The smallest angle is 7/15 of the largest Angle.

Therefore,

Smallest angle = 90°×(7/15) = 42°.

We know that the sum of three angles of a triangle is 180°

A + B+ C = 180°

90° + 42° +C = 180

C = 180° - 132°

C = 48°.

Hence,

The largest angle of a triangle is 90°

And, the other two smallest angles are 42° and 48°.