Question

one angle of a parallelogram measures 85°. what are the measures of the other three angles in the parallelogram?
□°, □°, and □°

Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (sum to \(180^\circ\)).

Step2: Find opposite angle

Given one angle is \(85^\circ\), its opposite angle is also \(85^\circ\) (opposite angles in parallelogram are equal).

Step3: Find consecutive angles

Let the consecutive angle be \(x\). Then \(85^\circ + x = 180^\circ\) (consecutive angles are supplementary). Solving for \(x\), we get \(x = 180^\circ - 85^\circ = 95^\circ\). The other consecutive angle (opposite to this \(95^\circ\) angle) is also \(95^\circ\) (opposite angles are equal).

Answer:

\(85\), \(95\), and \(95\)