In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x − 16)°. What is the measure of angle H? 32° 44° 88° 136°
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The measure of angle H is 44
In a parallelogram, opposite angles are equal,
so if angle G measures (4x + 16)°, then angle H, which is opposite angle G, must also measure (4x + 16)°.
Therefore, the measure of angle H is (4x + 16)° = 32°.
So the answer is 44
- A parallelogram is a quadrilateral, a four-sided shape, with opposite sides that are parallel. It has opposite sides that are equal in length and opposite angles that are also equal. This means that if one angle measures x degrees, the angle opposite it will also measure x degrees. The opposite sides are also parallel.
- The opposite sides of a parallelogram are equal in length and parallel. That is, AB=DC and AD=BC and opposite angles are equal. That is, ∠A = ∠C and ∠B = ∠D.
- Parallelograms can be classified into different types, such as rectangle, rhombus, square, and kite. A rectangle is a special type of parallelogram in which all angles are right angles. A rhombus is a parallelogram in which all sides are equal in length. A square is a special type of rectangle in which all sides are equal in length. And a kite is a parallelogram in which two pairs of adjacent sides are equal in length.
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