Question

Find all the angles in the given figure using properties of angles

Answer 1

Answer:

30°, 60°, 90°

Step-by-step explanation:

It is given that the measures of the angles in the triangle are x, 2x and 90°

Sum of angles in a triangle = 180°

⇒ x + 2x + 90° = 180°

⇒ 3x = 180° - 90°

⇒ 3x = 90°

⇒ x = 90°/3

⇒ x = 30°

2x = 2(30°) = 60°

The measures of the angles in the triangle are 30°, 60°, and 90°.

Hope it helps!!! Please mark Brainliest!!!

Answer 2

$\bf\purple{QuestioN:-}$

To find the angles in the figure given in the question.

$\bf\pink{AnsweR:-}$

First of all,

This is a right angle triangle. It is already given in the figure.

So ,

Let we can give names to each angle as ,

A , B , C.

Here , in the figure

Δ ABC is given where,

∠ A = 2x

∠ B = 90°

∠ C = x

We need to find ∠ A & ∠ C.

According to angle sum property,

Sum of the interior angles of a triangle = 180 °

In RtΔ ABC,

∠B = 90°

So ,

∠ A + ∠ B + ∠ C = 180°

∠ A + 90° + ∠ C = 180°

∠ A + ∠ C = 180 ° - 90 °

∠ A + ∠ C = 90°

Now, instead of ∠ A & ∠ C we can substitute 2x & x.

ie,

⇒ 2x + x = 90°

⇒ 3x = 90°

$\longrightarrow\bf{x=\dfrac{90}{3}$

⇒ x = 30°

Then,

• ∠ A = 2x = 2 × 30°

• ∠A = 60°

• ∠ C = x = 30°

So the required answer for your question is;

∠ A = 60°

∠ B = 90°

∠ C = 30°

All Done !!☺