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In the diagram, ABC is a triangle, DE is a straight line which cuts the line at the points F and G, and DE is parallel to BC. Find the sizes of the following angles and giving reasons for your answers.

a) angle AGF
b)angle EGC
c) angle ACB
d) angle ABC
e) angle DFA

In the diagram ABC is a triangle DE is a straight line which cuts the line at the points F and G and DE is parallel to BC Find the sizes of the following angles class=

Respuesta :

Answer:

Step-by-step explanation:

m < AGF =  180 - (50 + 54)

               = 76 degrees    ( the sum of angles in a triangle = 180 degrees).

m < EGC = 76 degrees ( this angle is opposite to < AGF)

m < ACB = 76 degrees (DE is parallel to BC and < ECG and < ACB are alternate angles)

m < ABC = 180 - (54 + 76)

               = 50 degrees  ( Triangle ABC , sum = 180 degrees)

m < DFA = 180 - 50

              = 130 degrees  ( adjacent angles)

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