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# Worksheet: Sum of Interior Angles of Quadrilaterals

Q1:

is a quadrilateral where , , , and . What is ?

• A189
• B198
• C4
• D22

Q2:

is a quadrilateral where , , , and . What is ?

• A182
• B195
• C27.7
• D15

Q3:

Find .

Q4:

Find .

Q5:

Find .

Q6:

Find the measures of the angles of a quadrilateral given that the ratio between them is .

• A , , ,
• B , , ,
• C , , ,
• D , , ,
• E , , ,

Q7:

Given that , find and .

• A ,
• B ,
• C ,
• D ,

Q8:

Determine .

• A
• B
• C

Q9:

From the figure, determine .

• A
• B
• C
• D
• E

Q10:

Determine the value of in the given quadrilateral.

Q11:

Determine the value of in the given quadrilateral.

Q12:

Determine the value of in the given quadrilateral.

Q13:

The sum of the measures of the angles of a trapezoid is . Write an equation to find the missing measure , and then solve it.

• A ,
• B ,
• C ,
• D ,
• E ,

Q14:

The internal angles of a quadrilateral are in the ratio . What is the largest angle?

• A
• B
• C
• D

Q15:

In the figure, , , and . Determine the size of all angles in .

• A , , ,
• B , , ,
• C , , ,
• D , , ,

Q16:

In a quadrilateral, if , find .

• A
• B
• C
• D

Q17:

In a quadrilateral, if , find .

• A
• B
• C
• D

Q18:

Determine .

Q19:

In the given figure, find and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q20:

In the figure, if , , , determine .

• A
• B
• C
• D

Q21:

From the figure, in which , , and , find the values of and .

• A ,
• B ,
• C ,
• D ,

Q22:

In the given figure, and . Find .

• A
• B
• C
• D

Q23:

In the given figure, and . Find .

• A
• B
• C
• D

Q24:

In the given figure, and . Find .

• A
• B
• C
• D