Question

one angle of a triangle is equal to the sum of other two. if the ratio of the other two angles is 7:8 find the angles of the triangle

Answer 1

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Answer 2

Answer:

The angles of triangle are 90°, 42° and 48°

Step-by-step explanation:

Given that one angle of a triangle is equal to the sum of other two. if the ratio of the other two angles is 7:8.

we have to find the angles of the triangle.

Let the angles of triangle be x, y and z

As one angle of a triangle is equal to the sum of other two

x=y+z

also the ratio of the other two angles is 7:8.

y:z=7:8

Let y be 7a and z be 8a

∴ x=7a+8a=15a

By angle sum property of triangle

x+y+z=180°

⇒ 15a+7a+8a=180°

⇒ 30a=180° ⇒ a=6

Hence, angles are

x=15a=15(6)=90°

y=7a=7(6)=42°

z=7a=8(6)=48°