Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

12.36:
the measures of two angles in a parallelogram add to [tex]204^{\circ}[/tex] . find the measure of each of the other two angles.

Sagot :

Reinhard10158idn

Step-by-step explanation:

in a parallelogram we have 2 equally large angles and 2 equally small angles.

the sum of all 4 angles must be 360°.

so let's first determine what angles are together 204°.

if it would be 2 neighboring angles, it would be the sum of a large and a small angle.

and the sum of the remaining 2 angles would be the same (again 204°).

but that that would together be 408°. too much.

so, it can only be that the 2 given angles are a pair of equal angles. and each would be

204/2 = 102°

as they are larger than 90°, they are the large angles in the parallelogram.

so, the other 2 angles are the pair of equally large small angles. together they have

360 - 204 = 156°

and each one is then

156/2 = 78°

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.