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2 years ago

How do you construct angle 22 and half

Mathematics

2 answers:

yaroslaw [1]2 years ago

4 0

Answer:

Below.

Step-by-step explanation:

First draw an angle of 90 degrees.

Then bisect it to give an angle of 45 degrees.

Finally bisect the 45 degree angle.

s344n2d4d5 [400]2 years ago

3 0

Answer:

Construct a right angle and bisect it twice

Step-by-step explanation:

22 1/2° = 90°/4

To construct an angle with this measure, construct a right angle, then bisect it, then bisect one of the 45° angles that result.

Or, instead of bisecting the right angle, you can use it to create an isosceles right triangle, then bisect one of the 45° angles.

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Read 2 more answers

The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.