Question

In the triangle above, the sides have been extended as shown. What is the value of a?
@huneya

Answer 1

The exterior angles of any polygon add up to 360.

Answer 2

85 + 40 + a = 360
solve for a.

Answer 3

first find the interior angle means
85-180=95
40-180=140-180=40
and now we know the 2 angles we do 95+40=135-180=45

Answer 4

so angle A is 45

Answer 5

85 + 40 + a = 360
125 + a = 360
a = 235

Answer 6

@huneya read this if you want proof of what i said is right, and what you said is incorrect.. http://www.mathsisfun.com/geometry/exterior-angles-polygons.html

Answer 7

a cannot equal 235 because it is acute angle

Answer 8

and there for a = 45

Answer 9

it's definitely 235.

Answer 10

The figure is probably not drawn to scale
and your math is wrong too.
85-180=95 wrong this is -95
40-180= - 140 not 140
140 -180= - 40
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