Answer:
m∠1 = 35°
Explanation:
In the given diagram, two intersecting straight lines create a pair of adjacent angles labeled ∠1 and 145°.
A linear pair is a pair of adjacent angles formed when two straight lines intersect. These angles sum to 180° as they form a straight line. Therefore, the sum of ∠1 and 145° is 180°:
m∠1 + 145° = 180°
Solve the equation for m∠1 by subtracting 145° from both sides of the equation:
m∠1 + 145° - 145° = 180°- 145°
m∠1 = 35°
Therefore, the measure of ∠1 is 35°.