Question

E) what value of x will make AOB a straight line in the figure?​ answer is 40° solve it step by step

Answer 1

Answer:

Answer is attached here.

Answer 2

Concept

This question is based on line and angles. Let understand the question first , in question, we have asked to find the value of x. Since AOB is a straight line(180°), so by using linear pair we will easily find the value of x.

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Proceed with calculation

$\sf \large{Since, \: \: AOB \: \: is \: \: a \: \: straight \: \: line(180 \degree)}$

So, By linear pair

$\: \: \: \: \: \: \sf \large \implies{3x + 5 + 2x - 25 = 180}$

$\: \: \: \: \: \: \large \implies \sf{5x - 20 = 180}$

$\: \: \: \: \: \: \sf \implies \large5x = 180 + 20$

$\: \: \: \: \: \: \: \large \sf \implies x = \frac{200}{5} = 40 \degree$