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What is the measure of an angle if it is 5 times its own supplement?

Posted on August 30, 2022 by Author

What is the measure of an angle if it is 5 times its own supplement?

150
Therefore, the angle which is five times its supplement is 150.

How do you find the length of a right triangle given one side and angle?

Key Takeaways

  1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
  2. In a right triangle, one of the angles has a value of 90 degrees.
  3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

What is the measure of angle 1?

45°
Angle 1 and angle 2 are complementary and congruent. The measure of angle 1 is 45°.

What is the measurement of angle 4?

∠2 and ∠4 are vertical angles. Their measures are equal, so m∠4 = 90 .

What is the measure of a right angle?

90 degrees
Right angles measure 90 degrees.

How many right angles are there in a right triangle?

one right angle
Daniel L. A right triangle has only one right angle.

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What type of angle pair is 1 and 5?

corresponding angles
∠1 and ∠5 are corresponding angles, so they have equal measures.

What is the measure of a triangle?

180°
The sum of the three angles of a triangle is 180°. One of the angles has a measure of 90° as it is a right triangle.

What is the measure of right angle and right angle?

A right angle is 90 degrees.

What is the measure of each of the two equal angles?

The internal angles of a triangle always add up to 180 degrees, and it was given that the triangle was right, meaning that one of the angles measures 90 degrees. This leaves 90 degrees to split evenly between the two remaining angles as was shown in the question. Therefore, each of the two equal angles has a measure of 45 degrees.

What are the measures of the angles of a right triangle?

The measures of the angles of a right triangle can total . One leg can be longer than the hypotenuse. A right triangle can be equilateral. A right triangle can have an obtuse angle. None of the other statements can be true of a right triangle. None of the other statements can be true of a right triangle. All of these statements are false.

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What is the definition of a right triangle?

A right triangle is a type of triangle that has one angle that measures 90°. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry. In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse.

How do you find the measure of an angle?

To solve for the measure of angle , we plug in the values of and . Since angle is a right angle, we know the measure will be . Find the degree measure of the missing angle. All the angles in a triangle add up to 180 º. T o find the value of the remaining angle, subtract the known angles from 180º:

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