1.
In the figure below, AD and EC intersect at point G, m AGB = 33°, and m AGE =
72°.
What is m BGC?
2. In the figure below, quadrilateral VWXY is a rectangle and has congruent diagonals
that bisect each other.
Note: picture not drawn to scale
If m VWY = 25°, what is m VZY?
3. In the figure below, AB is parallel to DC and BC is parallel to ED.
Note: picture not drawn to scale
If m DCB = 90°, m DCE = 37° and m BAC = 50°, what is m ECA?
4. In the figure below, m PDE = 43°, m APB = 69°, and m AED = 108°.
Note: picture not drawn to scale
What is m AEB?
5. In the figure below, m LJK = 40° and m KLJ = 72°.
Note: picture not drawn to scale
What is m JKH?
6. In the figure below, m WXY = 61°, m XYW = 66°, and m WZV = 75°.
Note: picture not drawn to scale
What is m ZVW?
7.
Write an expression to find…
Angle BCF =
Angle HFG =
Angle FIB =
8.
In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle
GBF, y represent the measure of angle CBE, and z represent the measure ofangle BCE.
The value of x is
°, the value of y is
°, and the value of z is
°.
9. In the figure below, trapezoid JKLM is an isosceles trapezoid, with JM
KL.
Note: picture not drawn to scale
If m KNL = 66° and m JMN = 12°, what is m HJM?
10.
Let x represent the measure of angle ACD, and let y represent the measure of angle
BCF.
The value of x is
° and the value of y is
°.
11. In the figure below, triangle QRT, triangle RSQ, and triangle QST are scalene
triangles.
Note: picture not drawn to scale
If m QRS = 37° and m TQS = 33°, what is m TQR?
12. In the figure below, m LMK = 27° and m KLM = 34°.
Note: picture not drawn to scale
What is m MKJ?
13. In the figure below, triangle ABC is a right triangle and quadrilateral CDEF is a
square.
Note: picture not drawn to scale
If m CAB = 59°, what is m ACF?
14. In the figure below, m RSP = 79°, m SPR = 46°, and m QRS = 114°.
Note: picture not drawn to scale
What is m QRP?
15. In the figure below, lines 1 and 2 are parallel. Lines 3 and 4 are also parallel.
Calculate the measure of the indicated angles.
Note: Figure is not drawn to scale.
The measure of angle A is
°.
The measure of angle E is
°.
The measure of angle B is
°.
The measure of angle F is
°.
16. In the figure below, AB
DE, BC
EF, and CD
FA.
Note: picture not drawn to scale
If m AGF = m BGC = m DGC = m EGF = 68°, what is m AGB?
17. In the figure below, quadrilateral PQRV and quadrilateral RSTU are divided into two
congruent halves by line PT, and PQ
RQ and RS
TS.
Note: picture not drawn to scale
If m PQR = 36° and m RST = 72°, what is m QRS?
18. In the figure below, each side of hexagon MNPQRS is 2 cm and each angle measures
120°.
Note: picture not drawn to scale
If triangle NQS is an equilateral triangle, with each side 3.5 cm long, what is m MNS?
19. In the figure below, triangle QRS is isosceles, with QR
Note: picture not drawn to scale
If m SPQ = 35° and m QRS = 38°, what is m PQR?
SR.