Question

In the given figure find the value of x...​

Answer 1

Step-by-step explanation:

60+5x+3x=180

60+8x=180

8x=120

x=15

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Answer 2

Given :

Angles = 60°

• 5x°

• 3x°

Let angles :

• a = 60°

• b = 5x°

• c = 3x°

Solving

$\\ \large \sf \mapsto \: \angle \: a + \angle \: b + \angle \: c = 180 \degree \\ \: \: \: \: ( \: linear \: \: pair \: )$

Angles along a straight line = 180°

$\\ \large \tt \implies \: 60 \degree + 5x + 3x = 180 \degree \\ \\ \large \tt \implies \: 8x = 180 \degree - 60 \degree \\ \\ \large \tt \implies \: x = \frac{120 \degree}{8} \\ \\ \large \sf \underline{ \boxed{ \sf \: x = 15 \degree}}$

______________________________________

Value of x = 15 °

Angles :

• a = 60 °

• b = 5(15°) = 75°

• c = 3(15°) = 45°

Check :

$\\ \large \sf \mapsto \: \angle \: a + \angle \: b + \angle \: c = 180 \degree \\ \: \: \: \: ( \: linear \: \: pair \: )$

$\\ \large \tt \implies \: 60 \degree + 5x + 3x = 180 \degree \\ \\ \large \tt \implies \: 60 \degree + 45 \degree + 75 \degree = 180 \degree \\ \\ \large \tt \implies \: 180 \degree = {180 \degree} \\ \\ \large \sf \: \mapsto \: l.h.s = r.h.s$

Hence Proved