Question

Given: ∠AOC and ∠BOC are complementary.

Answer 1

Answer:

$AOC = 60$

$BOC = 30$

Explanation:

Given

Complementary Angles: AOC & BOC

$AOC = BOC + 30$

Required

Determine AOC and BOC

$AOC + BOC = 90$ ---- Complementary Angles

Substitute BOC + 30 for AOC

$BOC + 30 + BOC = 90$

Collect Like Terms

$BOC + BOC = 90 - 30$

$2BOC = 60$

Divide through by 2

$BOC = 30$

Recall that $AOC = BOC + 30$

$AOC = 30 + 30$

$AOC = 60$