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QRS and SRT are complementary. if m QRS (8x+10)° and m SRT=(8x)°Determine m QRSm QRS=

QRS And SRT Are Complementary If M QRS 8x10 And M SRT8xDetermine M QRSm QRS class=

Sagot :

We are given two complementary angles (QRS and SRT).

Two angles are called complementry if they sum up to 90 degrees.

Therefore, by defination

mQRS + mSRT = 90

(8x+10) + (8x) = 90

8x + 8x + 10 = 90

16x = 90-10

16x = 80

x = 80/16

x = 5

Now, put the values in both the euqations and we will get the values of both the angles.

mQRS = 8x + 10 = 8(5) + 10 = 40 + 10 = 50 degrees

mSRT = 8x = 8(5) = 40 degrees

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