Maharashtra BoardEnglish MediumSTD 7MathsProperties of Triangles4 Marks
Question
Find x, y, z (whichever is required) from the figure given below:
✓
Answer
In $\triangle \text{ABC}$ and $\triangle \text{ADE}$ we have:
$\angle \text{ADE}=\angle \text{ABC}$ (Corresponding angles)
$\text{y}=50^\circ$
Also, $\angle \text{AED}=\angle \text{ACB}$ (Corresponding angles)
$\text{z}=40^\circ$
We know that the sum of all the three angles of Which means: x + 50° + 40° = 180°
Which means: x + 50° + 40° = 180° $($Angles of $\triangle \text{ADE})$
x = 180° - 90°
x = 90°
Therefore, we can conclude that the required angles are 50°, 40° and 90°
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