A parallelogram has one angle that measures 96°. What are the measures of the other three angles in the parallelogram?
Question
A parallelogram has one angle that measures 96°. What are the measures of the other three angles in the parallelogram?
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary.
Step 1: Since one angle is 96°, the angle opposite to it is also 96°.
Step 2: The adjacent angles are supplementary to 96°. Supplementary angles add up to 180°.
Step 3: To find the measure of the adjacent angles, subtract 96° from 180°.
180° - 96° = 84°
So, the other three angles in the parallelogram are 96°, 84°, and 84°.
Similar Questions
A parallelogram has one angle that measures 146°. What are the measures of the other three angles in the parallelogram?
In parallelogram ABCD below, the measure of ∠BCD is 98° and the measure of ∠CDB is 38°. What is the measure of ∠BDA ?
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
The measure of one of the interior angles of an isosceles triangle is 76°. What could be the measure, in degrees, of one of the other interior angles of the triangle?
Identify the angle of 𝑥° in the parallelogram.A. 26°B. 42°C. 68°D. 118°
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.