Question

Find the values of the unknowns x and y in the following diagrams:​

Answer 1

Step-by-step explanation:

★ QUESTION :

Find the values of x and y.

★ CONCEPT USED :

• Sum of all the angles of a triangle is 180°
• The sum of angles in straight line is 180°

★ SOLUTION :

1. <y + 120° = 180° [Straight Line]

→ <y = 180° - 120°

→ <y = 60°

<x + y + 50° = 180° [Sum of the angles of a triangle is 180°]

→ <x + 60° + 50° = 180°

→ <x + 110° = 180°

→ <x = 180° - 110°

→ <x = 70°

2. <y = 80° [Vertically Opposite Angles]

<x + <y + 50° = 180° [Sum of all angles of a triangle is 180°]

→ <x + 80° + 50° = 180°

→ <x + 130° = 180°

→ <x = 180° - 130°

→ <x = 50°

3. 50° + 60° + <y = 180° [Sum of all the angles of a triangle is 180°]

→ 110° + <y = 180°

→ <y = 180° - 110°

→ <y = 70°

<x + <y = 180° [Straight Line]

→ <x + 70° = 180°

→ <x = 180° - 70°

→ <x = 110°

HOPE IT HELPS YOU !

THANKS !