Question

ZA and ZB are complementary angles. If m_A= (7x + 28)° and m

ZB = (8x + 2)°, then find the measure of ZA.

Answer 1

mA=56 degrees

Explanation:

Complementary angles adds up to 90 degrees. This imply that

`(7x+28)+(8x+2)=90`

From this equation, we can find x:

`15x+30=90\\15x=90-30\\15x=60\\x=(60)/(15)\\x= 4`

Now, we can substitute the value for x into the angle mA:

`mA=(7*4+28)\\mA=(28+28)\\mA=56`