What is the measure of angle g?

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Answer 1 · 2018-07-11T16:07:05

#\angle g=85^\circ#

From given figure, #\angle e# & #\angle f# are supplementary hence

#\angle e+\angle f=180^\circ#

#130^\circ+\angle f=180^\circ#

#\angle f=180^\circ-130^\circ#

#\angle f=50^\circ#

Now, we also know that the sum of interior angles of a triangle is always #180^\circ# hence

#\angle f+\angle g+\angle h=180^\circ#

#50^\circ+\angle g+45^\circ=180^\circ#

#\angle g=180^\circ-95^\circ#

#\angle g=85^\circ#