Question

Find the measure of angle 'a' in each figure give reSons in each case
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Answer 1

I have a triangle with the following angles:

• 84 degrees,

• x + 59,

• and x + 51.

x + 51 is angle A

I have to find angle A's measure.

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

x + 59 + x + 51 + 84 = 180 My equation

2x + 194 = 180 add like terms

2x = -19 subtract 194 from both sides of the equation

x = -7 divided both by 2x to get x alone

It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.