In given below Fig. $A O B$ is a straight line and the ray $O C$ stands on it. The value of $x$ is
(a) $16$
(b) $26$
(c) $36$
(d) $46$

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Solution

Since, we have $∠ A O C + ∠ B O C = 180^{\circ}$ [As linear pair angles]
$\Rightarrow (2 x + 15)^{\circ} + (3 x + 35)^{\circ} = 180^{\circ}$
$\Rightarrow (5 x + 50)^{\circ} = 180^{\circ}$
$\Rightarrow 5 x + 50^{\circ} = 180^{\circ}$
$\Rightarrow 5 x = 180^{\circ} - 50^{\circ}$
$\Rightarrow 5 x = 130^{\circ}$
$\Rightarrow x = \frac{130^{\circ}}{5}$
$∴ x = 26^{\circ}$
Hence, the correct answer is option (b) ( $26$ )

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In given below Fig. AOB is a straight line and the ray OC stands on it. The value of x is(a) 16(b) 26(c) 36(d) 46

Since, we have ∠AOC+∠BOC=180∘ [As linear pair angles]⇒(2x+15)∘+(3x+35)∘=180∘⇒(5x+50)∘=180∘⇒5x+50∘=180∘⇒5x=180∘−50∘⇒5x=130∘⇒x=130∘5∴x=26∘Hence, the correct answer is option (b) (26)

In given below Fig. $A O B$ is a straight line and the ray $O C$ stands on it. The value of $x$ is
(a) $16$
(b) $26$
(c) $36$
(d) $46$