Question

Two angles of a triangle are in the ratio 4:5. If the
sum of these angles is equal to the third angle. Find
the angles of the triangle.​

Answer 1

Answer:

40°,50°,90°

Step-by-step explanation:

sum of all the angles= 180°

the third angle is the sum of 2 angles that means 4+5=9

so the angles are 4:5:9

then,

(4/18)×180=40

(5/18)×180=50

(9/18)×180=90

Answer 2

Step-by-step explanation:

Hello ! Guys here's Ur ans...

Given:

<A :< B = 4:5

< A + < B = <C

Find: < C

Solution:

In ∆ABC:

<A + <B+ < C = 180°.

= 4x + 5x +(4+5)x= 180(<C = 4+5x).

= 8x + 10x = 180

= 18x = 180

= x = 180/18=10(ans)..

As , x = 10°

so, < A = 4x = 4×10=40°.

<B = 5x =5×10=50°.

<C = <A + <B = 40+50= 90°.

Hence, we have got all the values.

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