8.G.A.5 Math Practice Questions — Sports Academy Games

8.G.A.5 math practice. Learn by doing.

8.G.A.5 practice covers use informal arguments to establish facts about the angle sum and exterior angle of triangles, and about the angles created when parallel lines are cut by a transversal. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 83 mapped skills

8 free questions · 0/0 correct

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In $\triangle PQR$ , $\angle P$ and $\angle Q$ are congruent. The measure of $\angle R$ is $118.6^{\circ}$ . What is the measure of $\angle Q$ ?

Let each congruent angle measure $x^{\circ}$ . Then $2x + 118.6 = 180$ , so $x = \dfrac{180 - 118.6}{2} = 30.7^{\circ}$ .

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What is the sum of the interior angles of a triangle?

The interior angle sum of a triangle is $180°$ .

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In a triangle, $m\angle P = 105^{\circ}$ and $m\angle Q = 28^{\circ}\textsf{.}$ What is $m\angle R\textsf{?}$

The sum of the interior angles of a triangle is $180^{\circ}\textsf{.}$ So $m\angle R = 180^{\circ} - 105^{\circ} - 28^{\circ} = 47^{\circ}\textsf{.}$

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In $\triangle XYZ$ , $\angle X$ and $\angle Z$ are congruent. The measure of $\angle Y$ is $52.6^{\circ}$ . What is the measure of $\angle X$ ?

The two congruent angles share the remainder equally: $\dfrac{180^{\circ} - 52.6^{\circ}}{2} = 63.7^{\circ}$ .

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What is the sum of the interior angles of a quadrilateral?

The interior angle sum of a quadrilateral is $360°$ .

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The measures of two angles of a triangle are $37^{\circ}$ and $84^{\circ}\textsf{.}$ What is the measure of the remaining angle?

The sum of the interior angles of a triangle is $180^{\circ}\textsf{.}$ The remaining angle measures $180^{\circ} - 37^{\circ} - 84^{\circ} = 59^{\circ}\textsf{.}$

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In $\triangle ABC$ , $\angle B$ and $\angle C$ are congruent. The measure of $\angle A$ is $124.8^{\circ}$ . What is the measure of $\angle C$ ?

Each congruent angle is $\dfrac{180^{\circ} - 124.8^{\circ}}{2} = 27.6^{\circ}$ .

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What is the sum of the interior angles of a pentagon?

A pentagon has $5$ sides: $(5-2) \times 180 = 540°$ .

8.G.A.5 math practice. Learn by doing.

Skills aligned to 8.G.A.5

Isosceles triangle angles

Polygon angle formulas

Triangle angle sum

8 free questions · 0/0 correct

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