What is the value of p?
A.125
B.55
C.35
D.45

Question

What is the value of p?
A.125 
B.55 
C.35 
D.45

anonymous · Answer

attachment

terenzreignz · Answer

Okay, remember the sum of all interior angles of a triangle?
If you add up the three interior angles of a triangle, the sum is always....?

anonymous · Answer

180?

terenzreignz · Answer

That's right :) Now let's draw your figure...
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anonymous · Answer

ok

terenzreignz · Answer

Now, clearly we have a triangle.  It'd be nice if we could find the measures of its interior angles.  In particular, what can you say about THIS angle...?|dw:1371741903594:dw|

anonymous · Answer

the angle is acute?

terenzreignz · Answer

It forms a linear pair with an angle that measures 125 degrees. Therefore that angle must measure...?

anonymous · Answer

obtuse?

anonymous · Answer

oops sorry

terenzreignz · Answer

I meant its measure.  How many degrees is it?

anonymous · Answer

read it wrong

terenzreignz · Answer

Now that you've read it right, what's your answer (to my question) ?

anonymous · Answer

55?

anonymous · Answer

im sorry im really terrible at math :(

terenzreignz · Answer

That is correct :)
Linear pairs have angles that add up to 180 degrees as well :)|dw:1371742054888:dw|

anonymous · Answer

oh.. ._.

anonymous · Answer

haha nice ! :)

terenzreignz · Answer

What about this one...|dw:1371742099175:dw|

anonymous · Answer

55 again? or no?

terenzreignz · Answer

No.  Don't guess -.-
This one forms a linear pair with another angle.  Which angle?

anonymous · Answer

45?

terenzreignz · Answer

I just said that the measures of the angles of a linear pair always add up to 180 degrees.
So what's the measure of the angle I just marked out?

terenzreignz · Answer

Linear pair... two angles with a common ray (or line)
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