Solve the following problems and provide the complete solution.

Refer to the figure at the right and answer the following. Given: MATH is a parallelogram. M 1. MA 2. A MAH 3. MS 4. A THM 5. LATH S 6. If mZMHT = 100, then m_MAT = A 7. If mZAMH = 100, then mZMHT = 8. If MH = 7, then AT = 9. If AS = 3, then AH = 10. If MT = 9, then SM = T Complete each statement. Given: JPQRS with diagonals PR and SQ intersecting at T. (Refer to figure below for nos. 1-6) A. If OPQRS is a rectangle. 1. PT = 12, QT = 2. mZRQS = 65, mZPQS = Q B. If OPQRS is a square. 3. m_QRS = 4. ST = 15, PR = C. If OPQRS is a rhombus. R 5. QR = 15, RS = 6. m_QRS = 120, mZQRP = D. Given: PQRS is a kite with diagonals PR and QS intersecting at T. 7. mZTPQ + mZTQP = 8. mLRTS = E. Given: A and B are the midpoints of the sides of APQR. 9. X =_ 10. AB = DIRECTIONS: Read the following questions carefully. Choose the letter that corresponds to the correct answer. 1. Two consecutive angles of a parallelogram measures (x + 30) . and [2(x - 30)]' respectively. What is the value of x? A. 40 B. 50 C. 60 D. 70 2.What is the measure of the smaller angle? A. 20 B. 40 C. 60 D. 80 3.What is the measure of the larger angle? A. 40 B. 60 C. 80 D. 100 4.FEGD is a quadrilateral, what is the measure of LG? A. 95 C. 97 65 1 10 B. 96 D. 98 87 5.In parallelogram PQRS, LP = 3x and LS= 120. What is the value of x? A. 20 C. 40 B. 30 D. 50