4..One of the interior opposite angles of a triangle is 40°. If the measure of the exterior angle is 120°, find the measure of the other two angles of the triangle.
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0
Answer:
80° and 60°
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
Let the other opposite interior angle be x.
120 = 40 + x
x = 120 - 40
x = 80°
Sum of all angles in a triangle is 180°
Let the other angle in the triangle be y
40 + 80 + y = 180
120 + y = 180
y = 180 - 120
y = 60°
Answer: The other 2 angles are 80° and 60°
Answered by
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Given :-
- One of the interior angle of traingle is 40°
- And the measure of exterior angle is 120°
To find :-
- Measure of two angles of the triangle.
According to the question,
Exterior angles = Sum of opposite interior angle.
Let the other opposite interior angle be x.
→ 120 = 40 + x
→ x = 120 - 40
.°. x = 80°
Sum of all angle of a triangle is 180°.
Let the other angle in the triangle be y.
→ 40 + 80 + y = 180°
→ 120 + y = 180°
→ y = 180° - 120
.°. y = 60°
The other two angles are 80° and 60°.
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