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What is the measure of angle BXF?​

What is the measure of angle BXF?​-example-1
User CH Liu
by
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2 Answers

3 votes

BXF =75 degrees becuaue the angles across 85 and 20 are the same so you would add 20+20+85+85 and then subtract that from 360 which is 150 and divide that by 2 which is 75

User SiliconSoul
by
6.7k points
3 votes

Answer:

BXF = 75

Explanation:

We know that CXE is a straight line

A straight line is 180 degrees

CXE = CXG + GXD +DXE

Substituting what we know

180 = 85+ GXD + 20

Combine like terms

180 = 105+GXD

Subtract 105 from each side

180-105 = 105-105 +GXD

75 = GXD

GXD and BXF are vertical angles

GXD = 75 which means BXF = 75

User BWlrYWphdWhvbmVu
by
6.7k points
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