Question

Please help on geometry step by step im trying to learn

Answer 1

Explanation:

(2/3x+3) + (3x-23)=90

(2/3+3)x -20 =90

11/3x =90 + 20

x= 110 * 3/11 =30

FQR = 2/3x+3= 2/3 (30) +3 = 20 +3 =23

Answer 2

m∠FQR = 23°

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!