We are asked to find the size of angle $x$. We are given a straight line, and angles of $50^\circ$, $x$, and $35^\circ$ are formed on one side of the straight line.

GeometryAnglesStraight LineAngle Sum Property
2025/4/22

1. Problem Description

We are asked to find the size of angle xx. We are given a straight line, and angles of 5050^\circ, xx, and 3535^\circ are formed on one side of the straight line.

2. Solution Steps

The angles on one side of a straight line add up to 180180^\circ. Therefore, we have the equation
50+x+35=18050^\circ + x + 35^\circ = 180^\circ.
Combine the constant terms:
85+x=18085^\circ + x = 180^\circ.
Subtract 8585^\circ from both sides of the equation:
x=18085x = 180^\circ - 85^\circ.
x=95x = 95^\circ.

3. Final Answer

The size of angle xx is 9595^\circ.

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