Solve for angle b in problem (10).

Step 1: Solve for angle b in problem (10). The two horizontal lines with arrows indicate they are parallel. The line intersecting them is a transversal. The angle 113^ and angle b are consecutive interior angles. Consecutive interior angles are supplementary, meaning they add up to 180^. 113^ + b = 180^ Subtract 113^ from both sides: b = 180^ - 113^ b = 67^ The value of b is 67^. Step 2: Solve for angle x in problem (11). The diagram shows two intersecting lines. The angle 136^ and the angle adjacent to it on the straight line form a linear pair. A linear pair of angles are supplementary, meaning they add up to 180^. Angle x is vertically opposite to this adjacent angle. Vertically opposite angles are equal. First, find the angle adjacent to 136^: 180^ - 136^ = 44^ Since x is vertically opposite to this 44^ angle: x = 44^ The value of x is 44^. Step 3: Solve for angle y in problem (12). The two vertical lines with arrows indicate they are parallel. The line intersecting them is a transversal. The angle 81^ is an interior angle. The angle y is an exterior angle. The angle alternate interior to 81^ is the angle on the bottom parallel line, to the right of the transversal, inside the parallel lines. This angle is equal to 81^. Angle y and this alternate interior angle are vertically opposite angles. Vertically opposite angles are equal. Therefore, y = 81^ The value of y is 81^. Send me the next one 📸