Question

If one angel of triangle is 45 degree and the other two angles in ration 2:3,then find the other two angles

Answer 1

$\bf \underline \red{YOUR \: QUESTION:- }$

If one angel of triangle is 45 degree and the other two angles in ration 2:3,then find the other two angles.

$\bf \underline\red {CONCEPT:- }$

The sum of all angles ( 3 angles ) of triangle 180°.

$\bf \underline \red{GIVEN:- }$

• First angles = 45

• Second and third are in ratio i.e 2:3 (2x and 3x)

$\bf \underline \red{SOLUTION:- }$

As sum of all angles is 180°.

$So, 45 + 2x + 3x = 180$

$45 + 5x = 180 \\ \\ 5x = 180 - 45 \\ \\ 5x = 135 \\ \\ x = 27$

Now, 2x = 27×2 = 54

3x = 81

$\bf \underline \red{Prove:- }$

81+54+45= 180

180=180

L.H.S=R.H.S