Question

Please this is my last point I really need help
Show workings

Answer 1

x = 14.375

Explanation:

Since 2 sides are congruent then the triangle is isosceles and the base angles are congruent, both (4x - 15)

The sum of the 3 angles in the triangle = 180°

sum the angles and equate to 180

4x - 15 + 4x - 15 + 95 = 180 , that is

8x + 65 = 180 ( subtract 65 from both sides )

8x = 115 ( divide both sides by 8 )

x = 14.375

Answer 2

x = 14.375

Explanation:

Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.

180° - 95° = 85°

Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.

85° / 2 = 42.5°

Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for x).

(4x - 15) = 42.5

Now, let's just get rid of those useless parentheses.

4x - 15 = 42.5

Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.

4x = 57.5

Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:

x = 14.375