Marcy and Jake both explained why the following statement is true: if LABC +mZXYZ = 180º and ZABC - ZXYZ , then ZABC and ZXYZ are right angles.

Marcy's reasoning:
Since we are given that m ABC +mZXYZ = 180", we know that the measures of the two angles add
up to 180°, and therefore the measure of each of the angles has to be half of 180°. Half of 180° is 90°.
Since the measures of the angles are equal, they both measure 90°. This means that they are both right
angles, since all right angles measure 90°.

Jake's reasoning:
Since ZABC ZXYZ we can say that m ZABC - MZXYZ because congruent angles have equal
measures. This means that you can substitute m ZABC for mZXYZ in the equation
m_ABC +mZXYZ = 180°. We then have m ABC +M_ABC = 180°, which can be simplified to
2(m_ABC) = 180". When we divide both sides by 2 we get m_ABC = 90°. Since both of the angles
have equal measures, they are both 90°, which means they are both right angles.

Whose reasoning is correct?
Only Marcy is correct.
O only Jake is correct.
Both Marcy and Jake are correct.
Neither Marcy nor Jake is correct