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

1.	The measure of the angles of a triangle are in the ratio 1:2:3 find the angles
Answer» 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

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

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