Question

the measure of the angles of a triangle are in the ratio 1:2:3 find the angles​

Answer 1

Answer:

The ratio of the angles are in 1:2:3.

Let us assume ∠A=1x, ∠B=2x, ∠C=3x.

We know that sum of all angles of a triangle is 180°.

Thus, ∠A+∠B+∠C=180°.

1x+2x+3x=180° ..................Because ∠A=1x, ∠B=2x, ∠C=3x.

6x=180

x=$\frac{180}{6}$,

x=30.

Now, substitute x value in ∠A, ∠B, ∠C.

∠A=1x=1×30=30°

∠B=2x=2×30=60°

∠C=3x=3×30=90°.

∴The angles are 30°, 60°, 90°.

HOPE IT HELPS :D