Question

deltamath back to home 1.4 - 1.5 dm extra practice 60% credit until: september 26 at 11:59 pm grade: 32% complete: 37% angles 1.1 vertical/adjacent/complementary angles 1.2 vertical/adjacent/complementary angles (algebraic) calculator answer x = y = submit answer

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle vertical to the $51^{\circ}$ angle is also $51^{\circ}$, so $x = 51$.

Step2: Use right - angle property

Since there is a right - angle in the figure and one of the non - right angles adjacent to $y$ is $51^{\circ}$, and the sum of angles in a right - angle is $90^{\circ}$. We know that $y+51^{\circ}=90^{\circ}$, so $y = 90 - 51=39$.

Answer:

$x = 51$, $y = 39$