"Supplementary Angle and Supplementary Angle" Parallel Lines and Intersecting Lines PPT Courseware 2

Description

"Supplementary Angle and Supplementary Angle" Parallel Lines and Intersecting Lines PPT Courseware 2

practice

1. The supplementary angle of an angle is 4 times its supplementary angle. What is the supplementary angle of this angle?

2. As shown in the figure, two walls surround an angle ∠AOB, but people cannot enter the wall. How do we measure the size of this angle?

Observe the graph below carefully and answer the following questions:

(1) How many pairs of complementary angles are there in the picture?

∠A and ∠B are mutually supplementary ∠A and ∠2 are mutually supplementary

∠1 and ∠B are mutually supplementary ∠1 and ∠2 are mutually supplementary

(2) Which pairs of angles in the figure are equal angles (except right angles)? Explain why they are equal.

∠B=∠2 (the supplementary angles of the same angle are equal)

∠A=∠1 (the supplementary angles of the same angle are equal)

Look for it

As shown in the figure, E and F are two points on the straight line DG.

∠BEF = ∠BFE

∠AED = ∠CFG = 90°

Find the equal angles in the figure and explain why.

think about it

As shown in the figure ∠AOC= ∠BOC=∠DOE=90°, then

The angle in the figure that is complementary to ∠3 is _________,

The angle in the figure that is complementary to ∠4 is _________,

Are there any angles in the figure that are complementary to ∠3?__________.

be careful

1 Reciprocity and complementarity are quantitative relationships between two angles, which are only related to the sum of their degrees and have nothing to do with their positions.

2 The angles in the concepts of complementarity and complementarity appear in pairs.

3 The supplementary angle of angle α is 90°-α, and the supplementary angle is 180°-α. The supplementary angle of the same acute angle is 90° greater than the supplementary angle.

4 Only acute angles have supplementary angles.

5 The supplementary angles (supplementary angles) of like angles are equal; the supplementary angles (supplementary angles) of congruent angles are equal.

Use your brain

It is known that points A, O, and B are on the same straight line, and OE and OF are the angle bisectors of ∠AOC and ∠BOC respectively. Find the angles that are complementary and complementary in the figure.

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Update Time: 2024-10-21

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