Answer:
A angles are 15 and 75 B. angles are 30 and 60 C. angles are 36 and 54
Step-by-step explanation:
Remember that the two acute angles of a right triangle = 90
A one angle = x ; the other angle = 60 + x so 60 +x + x = 90
60 + 2x = 90; 2x = 30; x = 15 one angles; the other angle is 60 + 15 = 75
B. One angle = x ; the other angle = 2x so x + 2x = 90
3x = 90 ; x = 30 one angle; the other angle s 2x = 2(30) = 60
C 2 : 3 means 2x:3x
One angle = 2x ; the other angle = 3x ; so 2x + 3x = 90
5x = 90; x = 18 this is what x is equal to. Now the find the angles:
one angle is 2x meaning 2(18) = 36 and the other angle is 3x meaning 3(18) = 54.
To check this answer one angle to the other angle is represented by the ratio 2:3; 36:54 = 2:3 Reduced!
