Answer:
11, 12, 13
Step-by-step explanation:
x is the first number
(x + 1) is the second number
(x + 2) is the third number
x + x+1 + x+2 = 36
3x + 3 = 36
3x = 36 - 3
3x = 33
x = 11 ← the first number
the second number = x + 1 = 11 + 1 = 12
the third number = x + 2 = 11 + 2 = 13
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
Sum of angle in a triangle is 180, so 33+70+x=180
x=77
x and y are vertical angles so y=77