MISSING ANGLES IN PARALLELOGRAMS WORKSHEET

Find the measures of the indicated angles in each parallelogram.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Find the measures of the numbered angles for each parallelogram.

Problem 9 :

Problem 10 :

Problem 11 :

Problem 12 :

ABCD is a parallelogram in which ∠DAB = 70^o and ∠CBD = 55^o. Find ∠CDB and ∠ADB.

Problem 13 :

In a parallelogram ABCD, ∠A = (2x + 10)^o and ∠C = (3x – 20)^o. Find the value of x.

Problem 14 :

The sum of the two opposite angles of a parallelogram is 150^o. Find all the angles of the parallelogram.

Problem 15 :

If the angles of a quadrilateral are (x – 20)^o, (x + 20)^o, (x – 15)^o and (x + 15)^o, find x and the angles of the quadrilateral

Find the value of x that will make the shape a parallelogram and give a reason to support your answer.

Problem 1 :

Solution

Problem 2 :

Solve for x in the parallelogram given below.

Solution

Problem 3 :

Solve for x in the parallelogram given below.

Solution

Problem 4 :

Solve for x and y in the parallelogram given below.

Solution

Problem 5 :

Use the diagram of parallelogram ABCD below to answer the questions.

Solution

Problem 6 :

Solve for x and y in the parallelogram given below.

Solution

Problem 7 :

Find the missing value in each of the following parallelogram.

Solution

Problem 8 :

Given that quadrilateral ABCD is a parallelogram find the values of x and y.

Solution

Problem 9 :

Find the length of CF. AB = 12, AD = 10, CE = 8.

Solution

Problem 10 :

Find the value of x that will make the shape a parallelogram  and give a reason to support your answer.

Solution

Find the value(s) of the variable(s) in each parallelogram

Problem 11 :

Solution

Problem 12 :

Solution

Problem 13 :

What are the values of x and y in the parallelogram?

• How are the angles related?
• Which variable should you solve for first?

Solution

Problem 14 :

Solution

Problem 15 :

Two consecutive angles in a parallelogram have measures x + 5 and 4x - 10. Find the measure of the smaller angle.

Solution

Problem 1 :

From the parallelogram given below, find the value of x, y and z.

Solution

Problem 2 :

If one angle of a parallelogram is 24 degree less than twice the smallest angle then, find the largest angle of the parallelogram.

Solution

Problem 3 :

In a parallelogram PQRS, if

∠P = (3x − 5)° and ∠Q = (2x + 15)°

then find the value of x.

Solution

Problem 4 :

If PQRS is a parallelogram, then ∠P − ∠R is

(a) 90° (b) 45° (c) 60° (d) 0°

Solution

Problem 5 :

Two adjacent angles of a parallelogram are 3x - 4 and 3x + 10. Find the angles of parallelogram.

Solution

Problem 6 :

One angle of a parallelogram is 60 degree. Find its opposite angle and the adjacent angle.

Solution

Problem 7 :

Find the indicated measure in parallelogram MNOP, explain your reasoning.

Solution

Find the value of each of the variable in the parallelogram.

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Find the value(s) of the variable(s) in each parallelogram

Solution

Problem 11 :

Two consecutive angles in a parallelogram have measures x + 5 and 4x - 10. Find the measure of the smaller angle.

Solution