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In this lesson, we will learn how to find a missing angle's measure in a quadrilateral knowing that the sum of angles in a quadrilateral is 360 degrees.

Q1:

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

Q2:

Q3:

Find 𝑚 ∠ 𝐴 .

Q4:

Q5:

Q6:

Find the measures of the angles of a quadrilateral given that the ratio between them is 6 9 1 2 1 3 : : : .

Q7:

Given that , find and .

Q8:

Determine .

Q9:

From the figure, determine .

Q10:

Determine the value of 𝑥 in the given quadrilateral.

Q11:

Q12:

Q13:

The sum of the measures of the angles of a trapezoid is 3 6 0 ∘ . Write an equation to find the missing measure 𝑥 , and then solve it.

Q14:

The internal angles of a quadrilateral are in the ratio 3 ∶ 4 ∶ 5 ∶ 6 . What is the largest angle?

Q15:

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

Q16:

In a quadrilateral , if , find .

Q17:

Q18:

Determine 𝑚 ∠ 𝐹 𝐸 𝐶 .

Q19:

In the given figure, find 𝑥 and 𝑦 .

Q20:

In the figure, if , , , determine .

Q21:

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

Q22:

In the given figure, and . Find .

Q23:

Q24:

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