Question

find the value of a in the following figure​

Answer 1

Answer:

Given:-

Find the value of "a" as in the following figure.

To Find:-

The value of "a".

Note:-

●》If there is rectangle made below angle then it represents 90°

●》As this is 4 sided angle when they are added, they makes 360°.

●》For finding some unknown values, we rearrange the term from its side to another and that times signs are also changed. For example - positive becomes negative, multiple becomes divisional.

Solution:-

First two known angle = 90° ( as told in note first point ), Two unknown angle = 2a, a

☆ According to note second point ( 4 sided angle sum = 360° )~

▪︎$4 \ \ sided \ \ angle = 360°$

▪︎$90° + 90° + 2a + a = 360°$

▪︎$180° + 3a = 360°$

☆ According to note third point ( rearrangement )~

▪︎$3a = 360° - 180°$

▪︎$3a = 180°$

▪︎$a = 180° ÷ 3$

☆ After doing calculations~

▪︎$a = 60°$

a = 60°

Checking:-

♤ Let's check that 4 sided angle makes 360° or not?

• $90° + 90° + 2a + a = 360° \ \ ?$

♤ Applying the value~

• $90° + 90° + 2 × 60° + 60° = 360° \ \ ?$

• $180° + 120° + 60° = 360° \ \ ?$

• $300° + 60° = 360° \ \ ?$

♤ After doing calculations~

• $360° = 360° \ \ ?$

♤ Yes!

Hence, Proved that a = 60°.

Answer:-

Hence, the value of a = 60°