Question

solve the following ​

Answer 1

Answer:

X=180°-62° ( linear pairs)

x=118°

Answer 2

$\red\bigstar$ Answer:

• $\boxed{\sf {\sf 118}^{\circ}}$

$\pink\bigstar$Given

• x and 62° lie on the same line AOB
• $\angle$ AOC = 62°

$\blue\bigstar$To find:

• The value of x

$\green\bigstar$ Solution:

$\because$ $\angle$AOC and x lie on the same line,

$\implies$ $\angle$AOC + x = 180°

( $\because$ The sum of angles on the same line is 180°)

$\implies$ $\angle$AOC + x = 180°

$\implies$ 62° + x = 180°

$\implies$ x = 180° - 62°

$\implies$ $\boxed{ \sf x \: = \: {118}^{\circ}}$

$\boxed{ \sf \therefore x \: = \: {118}^{\circ}}$

$\red\bigstar$ Concepts Used:

• The sum of angles lieing on the same line is 180°

• Substitution of values

• Transposition Method

$\pink\bigstar$Extra Information:

• A linear pair consists of two angles who are supplementary and their sum is 180°.

• The sum of angles in complementary pair is 90°.

• Vertically Opposite Angles are equal.

• A right angle is 90°.

• A 180° angle is a straight line.