Question

In the given figure, if the angles a and
are in the ratio 2: 3, then find the measure of angle e​

Answer 1

Step-by-step explanation:

Let angle a = 2 x

Let angle b = 3 x

Angle a + Angle b = 90 degree

2 x + 3 x = 90

5 x = 90

x = 18

Then angle a = 2 x = 2 × 18 = 36 degree

And angle b = 3 x = 3 × 18 = 54 degree

Angle c = 90 degree + angle a

Angle c = 90 + 36 = 126 degree Ans.

HOPE IT WILL HELP YOU.

Answer 2

Step-by-step explanation:

angle a ,b & c formed on the line is a straight line.

Let <a = 2x

<b = 3x

<c = x

So, <a + <b + <c = 180*

2x + 3x + x = 180*

6x = 180*

x = 180/6

x = 30

So, 2x= 2×30 = 60*

3x = 3×30 = 90*

x = 30*