Answered

Discover a world of knowledge and get your questions answered at IDNLearn.com. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

The measure of one angle of a parallelogram is 40 more than 3 times another. Find the measure of each angle.

Sagot :

AL2006idn
Two angles in the same parallelogram must either be equal or else add up to 180 degrees.  These two are obviously not equal, so they must add up to 180.

A + B = 180
A = 180 - B  (we'll use this in just a second)

A = 3B + 40

180 - B = 3B + 40

Add 'B' to each side:

180 = 4B + 40

Subtract 40 from each side:

140 = 4B

Divide each side by 4 :

35 = B

A = 180 - B = 145
[tex]\alpha+\beta=180^o\\\\\alpha=3\beta+40^o\\\\substitute\\\\3\beta+40^o+\beta=180^o\\4\beta=180^o-40^o\\4\beta=140^o\ \ \ \ /:4\\\beta=35^o\\\\\alpha=3\cdot35^o+40^o=105^o+40^o=145^o\\\\Solutions:35^o\ and\ 145^o.[/tex]
View image Аноним
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.