Please solve for X?

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1 Answer
Mar 15, 2018

See a solution process below:

Explanation:

The angles for triangle QRS add up to #180^o#

Angle R, because it is a right angle has is #90^o#

If we add angles R and S we get:

#90^o + 34^o = 124^o#

We can then calculate angle Q as:

#180^o - 124^o = 56^o#

The angles P and Q also form a 180^o angle.

So we know:

#"P" + "Q" = 180^o#

Or

#x + 72^o + 56^o = 180^o#

Solving for #x# gives:

#x + 128^o = 180^o#

#x + 128^o - color(red)(128^o) = 180^o - color(red)(128^o)#

#x + 0^o = 52^o#

#x = 52^o#