Question
✓
Answer
- 25
Solution:
In the given figure $\angle\text{CAD}=\angle\text{EAF}$ (Vertically opposite angels)
$∴\angle\text{CAD}=30^\circ$
In $\triangle\text{ABD},$
$\angle\text{ABD}+\angle\text{BAD}+\angle\text{ADB}=180^\circ$ (Angle sum property)
$⇒(\text{x}+10)^\circ+(\text{x}^\circ+30^\circ)+90^\circ=180^\circ$
$⇒2\text{x}+130^\circ=180^\circ$
$⇒2\text{x}=180^\circ−130^\circ=50^\circ$
$⇒ \text{x} = 25$
Thus, the value of x is 25.
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