Question

Please help I have been stuck on these two for two days now!!!

1. angleEFG and angleGFH are a linear​ pair, mangleEFG=3n+21​, and mangleGFH=2n+34. What are mangleEFG and mangle​GFH?

2.In the​ diagram below, mangleACB=68.
Find mangleBCD.

Answer 1

First of all you should demand your teachers stop teaching you algebra in geometry class.

1

Linear pairs (and this is the geometry part) are angles that add to 180 degrees, supplementary angles formed by two lines crossing.

3n + 21 + 2n + 34 = 180

5n + 55 = 180

5n = 125

n = 25

mEFG = 3n + 21 = 96 degrees

mCFH = 2n + 34 = 84 degrees

These are indeed supplements, adding to 180 degrees.

2

ACD is a right angle because it makes a linear pair along DF with another right angle.

So

mACB + mBCD = 90 degrees

mBCD = 90 - mACB = 90 - 68

mBCD = 22 degrees