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Sagot :
Answer:
1=76°
2=76°
3=36°
Step-by-step explanation:
To find 1, add the other angles in the triangle and subtract by 180.
85+19=104
180-104=76.
1 is equal to 2 so 2=76
To find 3, add 76 and 68, then subtract by 180.
76+68=144
180+144=36
3=36
Hope this helps!
If not, I am sorry.
Answer:
m∠1 = 76°
m∠2 = 76°
m∠3 = 36°
Step-by-step explanation:
The interior angles in a triangle sum to 180°
⇒ m∠1 + 85° + 19° = 180°
⇒ m∠1 + 104° = 180°
⇒ m∠1 + 104° - 104° = 180° - 104°
⇒ m∠1 = 76°
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
⇒ m∠2 = m∠1
⇒ m∠2 = 76°
The interior angles in a triangle sum to 180°
⇒ m∠2 + m∠3 + 68° = 180°
⇒ 76° + m∠3 + 68° = 180°
⇒ m∠3 + 144° = 180°
⇒ m∠3 + 144° - 144°= 180° - 144°
⇒ m∠3 = 36°
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