Question

only type numbers. no letters or symbols * in the figure shown, $ell_1parallelell_2$. if $mangle6 = 146^{circ}$, what is the measure of angle 1? your answer

Explanation:

Step1: Identify angle - relationship

$\angle6$ and $\angle2$ are corresponding angles. Since $\ell_1\parallel\ell_2$, $\angle2=\angle6 = 146^{\circ}$.

Step2: Use linear - pair property

$\angle1$ and $\angle2$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$. So, $m\angle1=180 - m\angle2$.

Step3: Calculate the measure of $\angle1$

Substitute $m\angle2 = 146^{\circ}$ into the formula: $m\angle1=180 - 146=34^{\circ}$.

Answer:

34