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How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines?

The properties of linear pairs and vertical angles are essential for determining angle measures created by intersecting lines. Linear pairs are formed when two lines intersect, resulting in two adjacent angles that sum up to 180 degrees. Vertical angles, formed opposite each other when two lines intersect, are always equal in measure. By using these properties, if the measure of one angle is known, the measures of the adjacent and opposite angles can be easily calculated.


What are the measures of a linear pair of angles if the measure of one angle is four times that of the other angle?

x+4x=5x=180 x=36 one angle is 36 other angle is 144


If the measures of two angles of an isosceles triangle are what is the measure of the third angle?

63


What is the measure of the third angle of the triangle if the measures of two angles of a triangle are 35deg and 45deg?

The missing angle measure is 100 degrees.


How do you find the measures of a central angle?

If three central angles measures 65, 87, and 112, find the measure of the fourth central angle.


Two angles are complementary the measure of one angle is 21 more than twice the measure of the other angle find the measures of the angles?

23 degrees and 67 degrees


If angles a and b are alternate angles what is the measure of angle b if angle a measures 105?

Alternate angles are equal and so angle b is also 105 degrees


What is a supplementary angle and what does it measure?

Supplementary angles are two angles that measure up to 180 degrees. EXAMPLE: If the an angle measures 70 degrees, to find the missing angle, you subtract 70 from 180 because supplementary angles equal 180 degrees. Your answer (in this case 110) is the answer for the measure of the missing angle.


If the m angle A equals 30 then what is the measure of the complement of angle A?

60. Complementary angles' measures sume 90


What is the angle measure for a rectangle?

A rectangle has four angles inside it. Each of them is a right angle (measures 90 degrees).


Are reference angles and radians the same?

No. A radian is a measure of an angle, it is not, itself, an angle. Degrees and radians are measures of angles and the two measures are related by the following conversion: 180 degrees = pi radians


What are angles that together measure 180 degrees?

A straight angle is an angle that measures 180 degrees and is drawn as a straight line. A straight angle is composed of two right angles whose measures are 90 degrees each.