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What are the angles in a parallelogram if the measure of one interior angle is 50 degrees more than 4 times the measure of another angle?
Opposite angles of a parallelogram are equal, and adjacent angles are supplementary.
Let one angle be θ, then the adjacent angle is 4θ + 50°
→ θ + 4θ + 50° = 180°
→ 5θ = 130°
→ θ = 26°
→ The two adjacent angles are 26° and 154°.
→ The angles of the parallelogram are 26°, 154°, 26°, 154°.
What else can I help you with?
What is the sum of the measure of the interior angles in a 28-gon?
The interior angles add up to 4680 degrees
What is the measure of the interior angle of an equilateral triangle?
Each of the interior angles of an equilateral triangle is 120 degrees.
What is the measure of dodecagon?
The interior angles of a dodecagon sum to 1800 degrees.
The measure of one interior angle of a regular dodecagon?
It is 150 degrees.
What is the measure of each interior in a regular 16-gon?
157.5 degrees
What is measure of every parallelogram?
360 degrees interior and exterior
What is total angle measure for a parallelogram?
The 4 interior angles of a parallelogram add up to 360 degrees
What is the sum of the angle measure of a parallelogram?
The 4 interior angles of a parallelogram add up to 360 degrees
Can a parallelogram measure 45 angles and two 75 angles why or why not?
No because the total sum of interior angles of a parallelogram are 360 degrees.
If a parallelogram has an angle measure of 37 degrees what are the measures of its other 3 angles?
In a parallelogram, opposite angles are equal in measure. Therefore, the angle opposite the 37-degree angle will also measure 37 degrees. The sum of the interior angles of any quadrilateral is always 360 degrees. Since opposite angles in a parallelogram are equal, the other two angles will also measure 37 degrees each.
What could describe a quadrilateral with two pairs of parallel sides and two interior angles that measure 65 degrees?
A rhombus or a parallelogram
Is aparallelogram a rectangle?
Technically yes although they are different shapes. Not necessarily. A parallelogram whose interior angles measure 90 degrees is a rectangle. Otherwise it is not.
In this parallelogram the measure of b exceeds the measure of a What is the measure of d?
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
In a parallelogram the measure of angle b the measure of angle a by 30 degrees what is the measure of angle d?
105 degrees
In this parallelogram the measure of b exceeds the measure of a by 30 What is the measure of c?
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
In this parallelogram the measure of angle B exceeds the measure of angle A by 30 degrees What is the measure of angle D?
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
What is the sum of the interior angle measure of a parallelogram?
A parallelogram has four sides. All four sided figures have a sum of the interior angle measures equal to 360°.
