Question

question 1/3
x =
35
degrees
y =
50
degrees

Explanation:

Step1: Use linear - angle property

The angle of 95 degrees and angle $x$ form a linear pair. A linear pair of angles sums to 180 degrees. So, $x + 95=180$.
$x=180 - 95$

Step2: Calculate the value of $x$

$x = 85$ degrees

Step3: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is 180 degrees. In the triangle, we know one angle is 50 degrees and another is $x = 85$ degrees. Let the third angle be $y$. So, $50+x + y=180$. Substitute $x = 85$ into the equation: $50+85 + y=180$.
$y=180-(50 + 85)$

Step4: Calculate the value of $y$

$y = 45$ degrees

Answer:

$x = 85$ degrees, $y = 45$ degrees