Question

Match each number with its correct letter according to the picture

1. Ray ST is perpendicular to Ray SR.
a) Substitution
2. ∠RST is a right angle.
b) Subtraction property of equality
3. m∠RST = 90°
c) Definition of perpendicular lines
4. m∠1 + m∠2 = m∠RST
d) Angle addition theorem
5. m∠1 + m∠2 = 90°
e) Definition of right angle
6. m∠1 = 90° - m∠2
f) Given

Answer 1

1. f) Given
2. c) Definition of perpendicular lines
3. e) Definition of right angle
4. d) Angle addition theorem
5. a) Substitution
6. b) Subtraction property of equality

Answer 2

Explanation:

Since we have given that

1. Ray ST is perpendicular to Ray SR. - f) Given

2 ∠RST is a right angle - c) Definition of perpendicular lines

3. m∠RST = 90° - e) Definition of right angle

4. m∠1 + m∠2 = m∠RST -d) Angle addition theorem

5. m∠1 + m∠2 = 90° - a) Substitution

6. m∠1 = 90° - m∠2 - b) Subtraction property of equality