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^\circ + 40^\circ = 180^\circ $
Which means: $x + 50^\circ + 40^\circ = 180^\circ $
$($Angles of $\triangle \text{ADE})$
$x = 180^\circ - 90^\circ x = 90^\circ $
Therefore, we can conclude that the required angles are $50^\circ , 40^\circ $ and $90^\circ $
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^\circ + 40^\circ = 180^\circ $
Which means: $x + 50^\circ + 40^\circ = 180^\circ $
$($Angles of $\triangle \text{ADE})$
$x = 180^\circ - 90^\circ x = 90^\circ $
Therefore, we can conclude that the required angles are $50^\circ , 40^\circ $ and $90^\circ $
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