Question

Geometry PLS HELP due soon

Answer 1

Answer:

(3) $x = 7.5$ and $y = 51$

(4) $x = 6$

Step-by-step explanation:

Question 3

Required

Solve for x and y

We have:

$16x - 18 + 10x +3 = 180$ --- angle on a straight line

Collect like terms

$16x + 10x = 180 + 18 - 3$

$26x = 195$

Solve for x

$x = 195/26$

$x = 7.5$

Also:

$16x - 18 = 2y$ ---- opposite angles

So, we have:

$16 * 7.5 - 18 = 2y$

$120 - 18 = 2y$

$102 = 2y$

Divide by 2

$51 = y$

$y = 51$

Question 4:

Required

Solve for x

We have:

$11x - 2 + 5x - 4 = 90$ ---- angle at right-angled

Collect like terms

$11x + 5x = 90 +2 + 4$

$16x = 96$

Divide by 16

$x = 6$