Exploring Angle Pairs Directions: Draw a figure and answer the following problems. 1) 21 and 22 are supplementary angles. If m21-(4x) and mz2-(8x)", then find the measures of these angles.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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Exploring angle pairs

 

Exploring Angle Pairs
Directions: Draw a figure and answer the following problems.
1) 21 and 22 are supplementary angles. If m21-(4x) and m22-(8x), then
find the measures of these angles.
2) 23 and 24 are complementary angles. If m23=(x +24) and m<4=(x)°, then
find the measures of these angles.
3) Two lines intersect to form angles. If the two adjacent angles form are (4x)° and
(5x-27)°, then what is the measure of those angles?
4) Two angles form a linear pair. If the angles are (4x -20) and (x)⁰, then what
is the measure of those angles?
5) ZLKM is a right angle. Point X is in the interior of the angle and a ray is drawn from
K through X. If mZMKX = (4x - 2)° and mZXKL = (2x +20)°, then find the measures
of the angles created.
6) 21 and 22 form vertical angles. 21=(16x-9)°, 22= (4x+3)°.
Find the values of x and y.
7)
(25x+8)
(7y+5)°
(9x + 2)°
8)
(7x+30)
(5y+38) (17y-4)°
(11x-24)
Transcribed Image Text:Exploring Angle Pairs Directions: Draw a figure and answer the following problems. 1) 21 and 22 are supplementary angles. If m21-(4x) and m22-(8x), then find the measures of these angles. 2) 23 and 24 are complementary angles. If m23=(x +24) and m<4=(x)°, then find the measures of these angles. 3) Two lines intersect to form angles. If the two adjacent angles form are (4x)° and (5x-27)°, then what is the measure of those angles? 4) Two angles form a linear pair. If the angles are (4x -20) and (x)⁰, then what is the measure of those angles? 5) ZLKM is a right angle. Point X is in the interior of the angle and a ray is drawn from K through X. If mZMKX = (4x - 2)° and mZXKL = (2x +20)°, then find the measures of the angles created. 6) 21 and 22 form vertical angles. 21=(16x-9)°, 22= (4x+3)°. Find the values of x and y. 7) (25x+8) (7y+5)° (9x + 2)° 8) (7x+30) (5y+38) (17y-4)° (11x-24)
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