Answer: 37° 53° 90°
Step-by-step explanation:
Given:
ΔABC m∠C=90°
Solution:
m∠A+m∠B+m∠C=180°
m∠A+m∠B+90°=180°
m∠A+m∠B+90°-90°=180°-90°
m∠A+m∠B=90°
Let m∠A=x°
Hence,
m∠B=(x+16)°
Thus,
x°+(x+16)°=90°
(2x)°+16°=90°
(2x)°+16°-16°=90°-16°
(2)(x)°=74°
Divide both parts of the equation by 2:
x°=m∠A=37°
m∠B=37°+16°
m∠B=53°
