45-Degree Angle

When two rays intersect at a common endpoint, they form an angle. The common endpoint is called the vertex, and the rays are called the arms of the angle.

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An angle is measured in° or radians. If the two arms of an angle extend in exactly opposite directions, it is a straight angle. A straight angle measures 180°. An angle can be measured using a protractor, and the angle of measure 90 degrees is called a right angle. In a right angle, the two arms are perpendicular to each other.

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When the right angle is divided into two equal parts each angle measures 45°.

Constructing a angle using a protractor

Step 1: Draw a ray and name it AB.

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Step 2: Keep the center point of the protractor at A. Since the angle opens to the right, choose 45° in the list that starts at the right and moves in the anticlockwise direction. Mark the point C.

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Step 3: Join A and C. Here, measures .

45 Degree Angles in Real Life:

Symmetric windows

Based on the location and climate of the place, some solar panels are installed at an angle of 45° for optimal solar energy production

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Additional Knowledge:

Constructing a angle using a compass

Step 1: Draw a line segment and the perpendicular bisector of by intersecting the arcs of radius more than half of the length MN. Let the perpendicular bisector intersect the line segment at O.

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Step 2: Draw an arc centered at O with a radius OM, cutting the perpendicular bisector at P.

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Step 3: Join M and P using a straight line. actions .

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An angle of measure degree can also be constructed by constructing the angular bisector of a right angle.