Mathematics
Grade9
Easy
Question
If ∆UDE ~ ∆UTS, then find the measure of .
- 30°
- 70°
- 60°
- 50°
Hint:
The similarity of triangles can be defined based on their properties. Two triangles are similar, if
(i) their corresponding angles are equal and
(ii) their corresponding sides are in the same ratio (or proportion).
These two are the main conditions for the similarity of triangles.
The correct answer is: 70°
In, ∆UDE
U + E + D = 180 ( By angle sum property)
D = 70
Since, ∆UDE ~ ∆UTS
D = T = 70
Thus, the measure of is 70.
In similar triangles angles are congruent
By angle sum property 180 - (80 + 30) = 70°.
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