In ΔQRS, q = 890 cm, s = 810 cm and ∠S=120°. Find all possible values of ∠Q, to the nearest degree.
1 answer:
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Step-by-step explanation:
<h3>Need to FinD :</h3>- We have to find the measures of other two angles of triangle.
We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
Second AnglE :
- 3x
- 3 × 10
- 30°
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
Third AnglE :
- 14x
- 14 × 10
- 140°
∴ Hence, the measure of the third angle of the triangle is 140°.