Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So, 8x-10 =6x 8x-6x = 10 2x =10 x= 5. Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for.
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z. Z should equal 87. The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2 Multiply both sides by 2 186 = 112 + x Subtract 112 from both sides 74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this: 80 = (y + x)/2 Substitute the value of x in 80 = (y + 74)/2 Multiply both sides by 2 160 = y + 74 Subtract 74 from both sides 86 = y
