Question

In a right-angled triangle, one of the acute angles
measures 53º. Find the measure of each angle of the
triangle.

​

Answer 1

Answer:

Consider ABC as a right-angled triangle with ∠C=90

∘

We know that the sum of all the angles in a triangle is 180

∘

.

So we can write it as

∠A+∠B+∠C=180

∘

We can write it as

∠A+∠B=180

∘

−∠C

By substituting the values

∠A+∠B=180

∘

−90

∘

By subtraction

∠A+∠B=90

∘

Let us consider ∠A=53

∘

By substituting the value of ∠A in ∠A+∠B=90

∘

We get

53

∘

+∠B=90

∘

On further calculation

∠B=90

∘

−53

∘

By subtraction

∠B=37

∘

Therefore, ∠A=53

∘

,∠37

∘

and ∠C=90

∘

.

Answer 2

Answer:

the answer of above given questions is

90°, 53°, 37°