Question

△ABC has a>b>c. If one of the angles in the triangle is 60°, name the angle that can be equal to 90°.

Answer 1

Answer:

∠A = 90°

Step-by-step explanation:

In this question relation between angles a, b and c have been given.

If one angle is 60° then we have to find the angle which measure 90°.

In triangle ABC,

∠A + ∠B + ∠C = 180°

If angle B = 60°

Then ∠A + 60 + ∠C = 180

∠A + ∠C = 180 - 60

∠A + ∠C = 120°

We know ∠A > ∠C

Therefore, ∠A = 90°

and ∠C = 30°

Now the angles of the triangle will be

∠A = 90°

∠B = 60°

∠C = 30°

∠A = 90° will be the answer.

Answer 2

Answer:

Angle A

Step-by-step explanation:

a is greater than b, which is greater than c

a triangle has 180 degrees

so 180-90 is 90

90-60 is 30

a>b>c

90>60>30

this would be a right triangle since one of the angles is 90 degrees