Answer:
The value of x is 69°
Step-by-step explanation:
In a right angle triangle, if m and n are the two acute angles on it, then
That means if sin(m) = cos(n), then m + n = 90°
Let us use these facts to solve the question
∵ sin(21°) = 0.358
∵ cos(x°) = 0.358
→ That means sin(21°) = cos(x°)
∴ sin(21°) = cos(x°)
→ By using the facts above
∴ 21 + x = 90°
→ Subtract 21 from both sides
∵ 21 - 21 + x = 90 - 21
∴ x = 69°
∴ The value of x is 69°
