If m∠a = m∠b and m∠a + m∠c = ∠d, then
m∠b + m∠c = ∠d.
which property is shown?
a. reflexive property
b. substitution property
c. symmetric property
d. transitive property

The answer is:

B) Substitution Property.

Hope it helps!

Option B is correct

Substitution property

Step-by-step explanation:

Substitution property of equality states that:

If a = b

then,

a can be substituted in for b in any equation or b can be substituted in for a in any equation.

As per the statement:

If m∠A = m∠B and

m∠A + m∠C = ∠D         [1]

by substitution property:

Substitute m∠A = m∠B in [1] we have;

then;

m∠B + m∠C = ∠D

Therefore, substitution property is shown.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

nlgqer

step-by-step