Look at the parallelogram in the diagram. Calculate the angles indicated.
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Look at the parallelogram in the diagram. Calculate the angles indicated.
is an alternate angle to the angle that equals 30 degrees. That meansNow we can calculate:
As they are adjacent and theredore complementary angles to 180:
AngleIs on one side with an angle of 20, which means:
Does the drawing show an adjacent angle?
Alternate angles are on opposite sides of the transversal line and between parallel lines. They form a 'Z' pattern when you connect them visually.
α and β are adjacent angles in the parallelogram, so they must add up to 180°. Since α = 30°, then β = 180° - 30° = 150°.
Alternate angles are on opposite sides of the transversal and equal each other. Corresponding angles are in the same relative position and also equal, but they're on the same side of the transversal.
Yes! Remember:
Use the angle sum property: all four angles should add to 360°. Also verify that opposite angles are equal and adjacent angles sum to 180°.
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