X=88 ?89 ? Or 90? What is x= ?
2 answers:
Answer:
The measure of angle x is 90°
Step-by-step explanation:
Given the figure in which
∠1=88°, ∠6=89°
we have to find the value of x.
∠5=∠6=89° (∵ Vertically opposite angles)
∠1+∠4=∠6 ( ∵ By exterior angle property)
88°+∠4=89°
∠4=89°-88°=1°
As AC=CB (both are radii of same circle)
∴ ∠4=∠3=1°
Now, by exterior angle property
x=∠5+∠3=89°+1°=90°
Hence, the measure of angle x is 90°
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