Question

1. finding complements in the table, assume that ∠1 and ∠2 are complementary. copy and complete the table.

m∠1	2°	10°	25°	33°	40°	49°	55°	62°	76°	86°
m∠2	?	?	?	?	?	?	?	?	?	?

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to \(90^\circ\), so \(m\angle2 = 90^\circ - m\angle1\).

Step2: Calculate for \(m\angle1 = 2^\circ\)

\(m\angle2 = 90^\circ - 2^\circ = 88^\circ\)

Step3: Calculate for \(m\angle1 = 10^\circ\)

\(m\angle2 = 90^\circ - 10^\circ = 80^\circ\)

Step4: Calculate for \(m\angle1 = 25^\circ\)

\(m\angle2 = 90^\circ - 25^\circ = 65^\circ\)

Step5: Calculate for \(m\angle1 = 33^\circ\)

\(m\angle2 = 90^\circ - 33^\circ = 57^\circ\)

Step6: Calculate for \(m\angle1 = 40^\circ\)

\(m\angle2 = 90^\circ - 40^\circ = 50^\circ\)

Step7: Calculate for \(m\angle1 = 49^\circ\)

\(m\angle2 = 90^\circ - 49^\circ = 41^\circ\)

Step8: Calculate for \(m\angle1 = 55^\circ\)

\(m\angle2 = 90^\circ - 55^\circ = 35^\circ\)

Step9: Calculate for \(m\angle1 = 62^\circ\)

\(m\angle2 = 90^\circ - 62^\circ = 28^\circ\)

Step10: Calculate for \(m\angle1 = 76^\circ\)

\(m\angle2 = 90^\circ - 76^\circ = 14^\circ\)

Step11: Calculate for \(m\angle1 = 86^\circ\)

\(m\angle2 = 90^\circ - 86^\circ = 4^\circ\)

Answer:

The completed \(m\angle2\) values (from left to right) are: \(88^\circ\), \(80^\circ\), \(65^\circ\), \(57^\circ\), \(50^\circ\), \(41^\circ\), \(35^\circ\), \(28^\circ\), \(14^\circ\), \(4^\circ\)