Question

How do I solve this, And does anyone have tips?

Answer 1

x = 45

y = 135

Step-by-step explanation:

We can see that the interior of the triangle has x 4 times, so we can divide the total triangle by 4. We know it's a triangle, so the angles will all sum up to 180 (interior angle sums).

180 / 4 = x

180 / 4 = 45

x = 45

So, we know that x = 45, so 2x = 90.

Now, to solve for y, we can solve the 180 degree angle along the ray at the bottom. We know a straight line has an angle of 180 degrees, so 180 - x = y.

180 - x = y

180 - 45 = y

180 - 45 = 135

y = 135

Now we have the variables of the equation. :)

Answer 2

`\sf\\(i)\ x+x+2x=180^o\ \ \ [\textsf{Sum of interior angles of triangle is 180}^o.]\\or,\ 4x=180^o\\or,\ x=45^o\\\\(ii)\ x+y=180^o\ \ \ [\textsf{Sum of angles in straight line is 180}^o.]\\or,\ 45^o+y=180^o\\or,\ y=135^o`