Question

if one angle of triangle is 60 degree and other two angle are in the ratio 1:2 find the angels
​

Answer 1

Answer:

From the triangle ABC

Consider ∠A=60 degrees, ∠B:∠C=5:7

In a triangle

∠A+∠B+∠C=180 degrees

Substituting the values

60∘ +∠B+∠C=180

By further calculation

∠B+∠C=180 ∘ –60 ∘ =120 ∘

Take ∠B=5x and ∠C=7x

Substituting the values

5x+7x=120 ∘

12x=120 ∘

x=120 ∘ /12=10 ∘

So we get

∠B=5x=5×10 ∘ =50 ∘

∠C=7x=7×10 ∘ =70 ∘

Hope it helps you!!!

Answer 2

Answer:

THE ANSWER IS 40 AND 80

Step-by-step explanation:

SUM OF ALL ANGLES IN A TRIANGLE = 180

FIRST ANGLE = 60

SUM OF REMAINING ANGLE = 180- 60

                                                 = 120

LET THE RATIO CONSTANT BE x

ratio is 1x+2x

ATQ

1X+2X= 120

3X=120

X= 120/3

X=40

SECOND ANGLE = 1 * 40 = 40

THIRD ANGLE = 2*40 = 80

FOR CHECKING

40 + 80 +60 = 180 DEGREE