Question

1) find 2 complementry angles so that the measure of an angle is 10 degree less than other.

2)the angles of a triangle are in 2:3:4 find the angles.

Answer 1

Answer:

Step-by-step explanation:

1.....

Complementary angle is of 90°.

Let, the one angle be x

The other angle is 10 less than other.

= x-10

So, x+x-10 = 90

2x = 90+10

2x = 100

x = 100/2

x = 50

Therefore, one angle is x = 50

other angle is x-10

= 50-10 = 40

2......

Let, the measure be x.

So, the ratio would be 2x:3x:4x.

The sum of measures of all angles of a triangle is 180°.

Therefore, 2x+3x+4x = 180

9x = 180

x = 180/9

x = 20

So, measure of angles

2x = 2*20 = 40

3x = 3*20 = 60

4x = 4*20 = 80