Question

in the given figure, find the measure of <A

Answer 1

Heya Mate!!!

Here is your solution ⤵⤵⤵⤵⤵

______________SOLUTION___________________

GIVEN:-

Ang B = 120°

Find:-

measure of angle A


Solution:-


We already Know that....

Sum of all angles of ∆ = 180°

<A + <B + <C = 180°

2x + 120° + x = 180°

3x + 120° = 180°

3x = 180° - 120°

3x = 60°

x = 60°/3

x = 20°

then ,

<A = 2x = 2 × 20° = 40°

<A = 40°


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Answer 2

Hey friend here is your answer......

Solution :

$\angle CAB\: + \angle ABC\: + \angle BCA \: = 180 \degree$

$2x \: + 120 \degree + x = 180 \degree$

(Since sum of three angles of a triangle is 180°)

$3x \: + 102 \degree \: = 180 \degree$

$3x = 180 \degree - 120 \degree$

$3x = 60 \degree$

$x = \frac{60 \degree}{3}$

$= 20 \degree$

$therefore , \: \angle A \: = 2x = 2 \times 20 \degree = 40 \degree$

Hope it helps you.....