Worksheet
1.6 to 1.7
Refer to the figure to answer each question.
Name ___________________________
1. Name all pairs of angles that the figure identifies as congruent angles.
________________________________________
2. Name all segments that bisect angles and name the angles that they bisect.
________________________________________
3. Given: m < ABD = 3x – 7
m < CBD = 4x – 13
x = ________
m < ABD = _________
4. Given: m < CAD = 10x + 12
m < ADB = 20x – 8
x = ________
m < DAC = _________
In the figure, TR bisects < PTS and TQ bisects < PTR. Given the following
conditions, find the value of x and the measure of the indicated angle.
5. Given: m < PTR = 3x - 8
m < STR = 2x + 17
x = _______
m < STP = _________
6. Given: m < PTS = x + 56
m < PTR = x – 23
x = ______
m < RTS = _________
7. Given: m < PTQ = 30 – 3x
m < QTR = 5x – 18
x = _______
m < PTS = _________
8. Given: m < STR = 73 – x
m < PTR = 94 – 2x
x = _______
m < PTQ = _________
9. Given: m < PTS = 6x - 12
m < QTR = x + 5
x = _______
m < PTR = _________
10. Suppose < DEF is a right angle and H is in the interior of < DEF. If m < DEH is five
times m< HEF, find m < HEF.
m < HEF = _____________