Basic of Geometry C & D

If RS = 7 and QS = 17, what is QR?

QR =

What is the value of p?

p =

Segment TV is shown below, where point U is the midpoint. If TV = 17 cm, what is the length of UV?

UV =

∠HMX is shown below, where ray MB is an angle bisector. Find the measure of ∠HMX if ∠HMB = 32°.

∠HMX =

∠ABC and ∠MNO are complementary angles. m∠ABC = 24° and m∠MNO = (4x + 6)°, what is the value of x?

x =

∠DEF and ∠GHI are supplementary angles.m∠DEF = 51° and m∠GHI = (7x + 3)°, what is the value of x?

x =

Suppose Q is the midpoint of PR. Find the value of x if PQ = 3x + 14 and QR = 32.

x =

If MO bisects ∠PMN, m∠PMN = 74° and m∠OMN = 2x + 7, find the value of x.

x =

If ∠XHR = 135°, find the value of all the angles below.

∠RHB =

∠XHK =

∠BHK =

∠TKW =

∠VKW =

Find the value of x.

x =

YB = 2x, BW = x + 4, WH = 3x - 1, and BH = 35. What is the length of YW?

x =

YW =

Find the m∠WEL if ∠LER = (10x - 4)°,∠WEL = (7x + 20)° and ∠WER = 135°.

x =

∠WEL =

Line FG and JK are parallel; Line MU is a transversal. Find the value of a.

a =

Line PQ and Line RS are parallel; Line AD is a transversal. Find the value of a.

a =

∠DEF is a straight angle. What are the measures of ∠DEC and ∠CEF?

x =

∠DEC =

∠CEF =

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 =

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?

x =

∠XRH =