"Supplementary Angle and Supplementary Angle" Parallel Lines and Intersecting Lines PPT Courseware 3

Description

"Supplementary Angle and Supplementary Angle" Parallel Lines and Intersecting Lines PPT Courseware 3

Go into life

1. What are the three interior angles of the triangle you usually use? What is the sum of two of the acute angles?

2. The picture shows a broken right-angled triangle. Can you find the broken corner?

definition

If the sum of two angles is equal to 90° (right angle), the two angles are said to be supplementary angles, or mutually supplementary for short.

That is, if ∠1+∠2=90°, then ∠1 and ∠2 are complementary to each other. It can also be said that ∠1 is the supplementary angle of ∠2, or ∠2 is the supplementary angle of ∠1.

Notice:

(1) Two angles appear in pairs; (2) Only the quantitative relationship is considered, regardless of position.

Explore

(1). ∠1 and ∠3 are both supplementary angles of ∠2, so what is the relationship between ∠1 and ∠3?

(2) If ∠ 1+ ∠2=90°, ∠3+∠4=90° and when ∠1=∠3, what is the relationship between ∠2 and ∠4?

practise

1. Fill in the blanks

1. The supplementary angle of 70°39′ is _____, and the supplementary angle is _____.

2. If the supplementary angle of an angle is 150°; then the supplementary angle of this angle is _____.

3. The supplementary angle of x ° (x<90) is _____, and its supplementary angle is _____.

Summary: The complementary angle of the acute angle ∠α is (90 °—∠α)

The supplementary angle of ∠α is (180°—∠α)

2.. judge:

(1) The supplementary angle of an angle must be an acute angle. ( )

(2) The supplementary angle of an angle must be an obtuse angle. ( )

(3) If ∠1+ ∠2+ ∠3=90°, then ∠1, ∠2 and ∠3 are supplementary angles to each other. ( )

(4) The supplementary angle of the angle 28°30′ is 62°30′. ( )

(5) Every angle has a supplementary angle. ( )

∠Draw 99 rays inside AOB. How many corners are there in the picture?

Think of specificity:

No ray is drawn inside the corner - 1 corner

Draw 1 ray inside the angle - (1+2) angles

Draw 2 rays inside the angle - (1+2+3) angles

…

Draw 99 rays inside the angle - 1+2+3+4+…+100=5050 angles

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Update Time: 2024-07-29

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