Answer:
m∠FQR = 23°
Step-by-step explanation:
Since m∠KQF = 90°, it's a complementary angle and is equal to 90°
Step 1: Write the equation. Since The whole angle equals 90° add everything together to equal 90°
(3x - 23)° + (2/3x + 3)° = 90
3x - 23 + (2/3)x + 3 = 90
Combine like terms
multiply the denominator by 3. (3 × 3) = 9 + 2 = 11
(11/3)x - 20 = 90
+ 20 +20
(11/3)x = 110
÷(11/3) ÷(11/3)
x = 30°
Step 2: Find m∠FQR
m∠FQR = ((2/3)x + 3))
(2/3)(30) + 3
20 + 3 = 23
m∠FQR = 23°
I hope this helps!
