Question

explain step by step​

Answer 1

Answer:

15

Step-by-step explanation:

Sum of angles of a triangle is 180°

In the triangle,

90° + 5x + x = 180

6x = 90

x = 15

Answer 2

Given :

This is right angled triangle , in right angled triangle one angle is 90°

• Other angles x and 5x

To Find :

• Value of unknown angle x

Concept Using :

Angle sum property of a triangle

The sum of the interior angles of a triangle is 180°.

∠1 + ∠2 + ∠3 = 180°

• ∠1 = x
• ∠2 = 5x
• ∠3 = 90°

Solution :

According to the concept

↬∠1 + ∠2 + ∠3 = 180°

↬x + 5x + 90° = 180°

↬6x + 90° = 180°

↬6x = 180° - 90°

↬6x = 90°

↬x = 90÷6

↬x = 90/6

↬x = 15°

• ∠1 = 15°
• ∠2 = 5x = 5 × 15 = 75°