∠3 = 43°, what is the value of ∠6? What is the relationship between the two angles?
∠6 = __________
Relationship: __________
Question 4
4.
∠7 = 36°, what is the value of ∠1? What is the relationship between the two angles?
∠6 = __________
Relationship: __________
Question 5
5.
Segment TV is shown below, where point U is the midpoint. If TV = 17 cm, what is the length of UV?
UV = _______
Question 6
6.
∠HMX is shown below, where ray MB is an angle bisector. Find the measure of ∠HMX if ∠HMB = 32°.
∠HMX = _______
Question 7
7.
∠ABC and ∠MNO are complementary angles. m∠ABC = 24° and m∠MNO = (4x + 6)°, what is the value of x?
x = _______
Question 8
8.
∠DEF and ∠GHI are supplementary angles.m∠DEF = 51° and m∠GHI = (7x + 3)°, what is the value of x?
x = _______
Question 9
9.
Suppose Q is the midpoint of PR. Find the value of x if PQ = 3x + 14 and QR = 32.
x = _______
Question 10
10.
If MO bisects ∠PMN, m∠PMN = 74° and m∠OMN = 2x + 7, find the value of x.
x = _______
Question 11
11.
If ∠XHR = 135°, find the value of all the angles below.
∠RHB = _______
∠XHK = _______
∠BHK = _______
∠TKW = _______
∠VKW = _______
Question 12
12.
Find the value of x.
x = _______
Question 13
13.
YB = 2x, BW = x + 4, WH = 3x - 1, and BH = 35. What is the length of YW?
x = _______
YW = _______
Question 14
14.
Find the m∠WEL if ∠LER = (10x - 4)°,∠WEL = (7x + 20)° and ∠WER = 135°.
x = _______
∠WEL = _______
Question 15
15.
Line FG and JK are parallel; Line MU is a transversal. Find the value of a.
a = _______
Question 16
16.
Line PQ and Line RS are parallel; Line AD is a transversal. Find the value of a.
a = _______
Question 17
17.
∠DEF is a straight angle. What are the measures of ∠DEC and ∠CEF?
x = _______
∠DEC = _______
∠CEF = _______
Question 18
18.
RP, VW, and MS are shown. VW intersects RP at point H. VW intersects MS at point G. Determine the relationship between the following angles if RP is parallel to MS and if they are congruent or supplementary:
∠PHG and ∠MGH: __________ and they are __________
∠RHG and ∠MGH: __________ and they are __________
Question 19
19.
Parallel lines EF and AB are shown with transversal CD. m∠ADC = 130° and m∠FCD = 8x + 34°. What is the value of X?
x = _______
Question 20
20.
An engineer is designing the parking lot for a local grocery store, as shown in the diagram below. The parking spaces are marked with lines where XD ∥ TZ ∥ YF ∥ LP. WC is a transversal.
If m∠XRH = 7x + 5 and m∠LNC = 10x - 16, what is m∠XRH?