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At a road junction the four angles around the point are $x, 2 x, x$ , and $2 x$ in order.
Find the value of $x$ and hence the larger angle.

Class 7Adjacent and Vertically Opposite AnglesLines and Angles

A130
B240
C110
D120

Step-by-Step Solution

Angles around a point sum to 360°:

x + 2 x + x + 2 x = 360, 6 x = 360, x = 60

. Larger angle =

2 x = 120

°.

Answer: D) 120

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