Question

Please answer this question only if you know it! 25 points and brainliest!

Answer 1

Answer:

$\boxed{70^\circ}$

Step-by-step explanation:

Step 1. Calculate θ

$\begin{array}{rcll}70^{\circ} + \theta + 60^{\circ} & = & 180^{\circ} & \text{Angles of straight line}\\130^{^{\circ}} + \theta & = & 180^{\circ}} & \\\theta & = & 50^{\circ} & \\\end{array}$

Step 2. Calculate x

$\begin{array}{rcll}60^{\circ} + \theta + x & = & 180^{\circ} & \text{Interior angles of triangle}\\60^{\circ} + 50^{\circ} + x & = & 180^{\circ} &\\110^{^{\circ}} + x& = & 180^{\circ} & \\\\x & = & \boxed{70^\circ} & \\\end{array}$