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Question: Find y
Question: Find m


Question Find Y Question Find M class=

Sagot :

Answer:

[tex]y = 180 - 75 \\ y = 105[/tex]

[tex]m = 60[/tex]

by the vertical angles theorem

Answer:

2) ∠ y = 105°

3) ∠m = 60°

Step-by-step explanation:

Question 2:

Given that ∠x and ∠y are supplementary angles whose sum equal to 180°, we can simply subtract the measure of ∠x from 180° to get the measure of ∠y.

m∠ y° = 180° -  m∠x°

m∠ y° = 180° -  ∠75°

m∠ y° = 105°

Question 3:

Given that the intesection of two rays form two pairs of opposite angles: m∠60° and ∠ m°, thereby qualifying as vertical angles by definition. Vertical angles are congruent angles with the same measure. Therefore, if m∠60°, then it means that m° = 60°.