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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°.
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