Tick (✓) the correct answer


Tick (✓) the correct answer

Two adjacent angles of a parallelogram are (2x + 25)° and (3x − 5)°. The value of x is

(a) 28

(b) 32

(c) 36

(d) 42


(b) 32

We know that the sum of adjacent angles of a parallelogram is $180^{\circ}$.

$\Rightarrow 2 x+25+3 x-5=180$

$\Rightarrow 5 x+20=180$

$\Rightarrow 5 x=180-20$

$\Rightarrow 5 x=160$

$\Rightarrow x=\frac{160}{5}$

Therefore, the value of $x$ is 32 .

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