Hii!

I'm a bit stuck on this problem which I have. It tells us to find the angle marked x . I tried my best to copy this diagram into paint, so it seems close to the real drawing to me.

Thanks!!

2. ## Re: Grade 8 Geometry

We have a square, two equilateral triangles and an isosceles triangle. Focus on working out the largest angle in the isosceles triangle. You can do this using the facts that:
-Angles at a point sum $\displaystyle 360^o$
-Angles in an equilateral triangle are all $\displaystyle 60^o$
-Angles in a square are all $\displaystyle 90^o$

Once you've worked out the largest angle in the isosceles triangle, use the facts that the other two angles in the triangle are equal and that all angles in any triangle sum $\displaystyle 180^o$.

3. ## Re: Grade 8 Geometry

Originally Posted by JesseElFantasma
Hii!

I'm a bit stuck on this problem which I have. It tells us to find the angle marked x . I tried my best to copy this diagram into paint, so it seems close to the real drawing to me.

Thanks!!

What is the size of the angles in a square? What is the size of the angles in an equilateral triangle?

4. ## Re: Grade 8 Geometry

Thanks! This helped alot.
So from what you said I drew the conclusion of:

$\displaystyle 360^o - (90^o + 60^o + 60^o ) = 360^o - 210^o = 150^o 180^o - 150^o = 30^o 30^o / 2 = 15^o x= 15^o$

5. ## Re: Grade 8 Geometry

Thanks! This helped alot.
So from what you said I drew the conclusion of:

$\displaystyle 360^o - (90^o + 60^o + 60^o )= 360^o - 210^o= 150^o...................180^o - 150^o = 30^o........................30^o/ 2....= 15^o................x= 15^o$

Perfect.