Question

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Answer 1

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The value of x is 28

Answer:

$5x - 60 + 2x + 40 + 3x - 80 = 180$

$10x - 100 = 180$

$10x = 180 + 100$

$10x = 280$

$x = 28$

Answer 2

Answer:

• $\sf {The \: value \: of \: x = 28^{ \circ}}$

Step-by-step explanation:

Here in this question a Triangle is given with 3 Angles

• (5x - 60), (2x + 40),(3x - 80)

Inorder to solve this question you Should know about Angle Sum Property Of A Triangle. (A.S.P of $\triangle$)

A.S.P of $\triangle$ States that sum of all angles of a Triangle is 180°. I.e $\angle 1$ +$\angle 2$ + $\angle 3 = 180^{\circ}$

Let's Do It !!

Here Given angle measures are

• (5x - 60), (2x + 40),(3x - 80)

• So, $\tt 5x - 60 + 2x + 40 + 3x - 80 = 180$ [A.S.P of $\triangle$]

• $\tt 10x -100 = 180$

• $\tt 10x = 180 + 100$

• $\tt 10x = 280$

• $\tt x = \dfrac{280}{10}$

• $\tt x = \dfrac{28\cancel0}{1\cancel0}$

• $\tt x = 28^{\circ}$

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