Given:
m∠5 = 134 degrees
Let's find m∠1.
Using the linear pair of angles theorem. Which states that if 2 angles form a linear pair, they are supplementary.
Supplementary angles sum up to 180 degrees.
Thus,
m∠5 + m∠2 = 180
Let's solve for m∠2.
m∠2 = 180 - m∠5
m∠2 = 180 - 134
m∠2 = 46 degrees
Here, we have a right triangle.
Therefore, m∠K = 90 degrees
To find m∠1, use the triangle angle sum theorem which states that the sum of interior angles in a triangle is 180 degrees.
Therefore, we have:
m∠1 + m∠2 + m∠k = 180
m∠1 = 180 - m∠2 - m∠k
m∠1 = 180 - 46 - 90
m∠1 = 44 degrees
ANSWER:
44°
