Calculate the missing angle:
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Calculate the missing angle:
In this question, we are asked to find the measure of the angle marked in orange.
We can see that it is adjacent to the left vertex of the rectangle, and its sides are extensions of the rectangle’s sides. This means that the angle is directly opposite the rectangle’s vertex, where a right angle is formed.
Since all angles in a rectangle measure 90∘90∘, the angle we were asked to find is also equal to 90∘90∘.
90
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
The 120° angle is on a diagonal line that crosses the rectangle, but the orange angle is formed by extensions of the rectangle's sides. These are completely separate geometric relationships!
The orange angle shares the same vertex as the rectangle's corner. Since rectangles have perpendicular sides, any angle formed by extending those sides will also be 90°.
It doesn't matter! A rectangle's internal angles are always 90° regardless of its position. The angle formed by extending perpendicular sides will always be 90°.
No! The length of the sides doesn't affect the angle measure. As long as the sides are perpendicular (which they are in rectangles), the angle will always be 90°.
Look for the small square symbol at the rectangle's corner - this indicates a right angle. Since the orange angle uses the same vertex and sides, it must also be 90°!
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