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Mathematics 9 Online
OpenStudy (anonymous):

If ∠A = 5x – 6 and ∠C = 3x + 14, what is the measure of ∠A? 4° , 10° , 14° , 44°

OpenStudy (anonymous):

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OpenStudy (anonymous):

well it depends on what shape these angles are associated with or else this is impossible to answer because i don't know if these are supposed to be equal angles our if they add up to 90 degrees. please elaborate.

OpenStudy (anonymous):

theres the picture, sorry i need to draw it out.

OpenStudy (mathstudent55):

What information are you given about quadrilateral ABCD?

OpenStudy (anonymous):

its a parellelogram.

OpenStudy (mathstudent55):

Opposite angles of a parallelogram are congruent.

OpenStudy (mathstudent55):

That means m<A = m<C

OpenStudy (mathstudent55):

Since you know m<A = 5x - 6, and m<C = 3x + 14, set those two expressions equal and solve the equation for x. Then substitute the value of x in m<A = 5x - 6 to get the measure of angle A.

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