Mathematics
Grade9
Easy
Question
If the triangles in the figure are similar, then what is the measure of ?
- 100°
- 80°
- 50°
- 30°
Hint:
Find the value of ∠DPC and by using sum of angles in a triangle is 180° Find ∠C .
The correct answer is: 100°
Since triangles are similar,
∠DPC = 50° (Vertically opposite angles are equal)
In ΔDPC, the angles are ∠DPC = 50°(from above) ∠D = 30° (given) and angles ∠C
By angle sum property 180°
∠DPC +∠D +∠C = 180°
50° + 30° + ∠C = 180°
∠C = 180° - 80° = 100°.
Therefore, value of ∠C is 100° .
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