The measure of ∠C using sine rule formula and as shown in the triangle is 39.8°.
<h3>SINE RULE FORMULA</h3>
The sine rule formula gives the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinA = b/sinB = c/sinC,
From the diagram, to calculate the measure of the ∠C, we use the sine rule formula.
- b/sinB = c/SinC............ Equation 1
From the diagram,
Given:
Substitute these values into equation 1 and solve for angle C
- 9/sin105° = 6/sinC
- sinC = (sin105°×6)/9
- sinC = 0.64
- C = sin⁻¹(0.64)
- C = 39.8°
Hence, ∠C is 39.8°.
Learn more about sine rule formula here: brainly.com/question/28523617
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