Work out the size of angle xill mark brainliest first corect answer!

Mathematics

2 answers:

Nostrana [21]3 years ago

6 0

X = 65 degrees

The angles at the bottom outside of the triangle are supplementary with the angles at the bottom inside (sum of the 2 = 180°)

So we can calculate the bottom interior angles:
180 - 105 = 75
180 - 140 = 40

We know that the sum of all interior angles of a triangle = 180, so
75 + 40 + x = 180
115 + x = 180
x = 65°

kykrilka [37]3 years ago

6 0

Answer:

65°

Step-by-step explanation:

First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:

180-105=75

So the first angle is 75°

180-140=40

So the second angle is 40°

Now as the angles of a triangle add up to 180 we can derive this equation:

75+40+x=180

and all we do is just subtract both sides by 75 and 40:

x=180-75-40

x=65

And 65 is our answer

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