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Scrat [10]
2 years ago
11

Quadrilateral ABCD is inscribed in this circle.

Mathematics
1 answer:
Sonja [21]2 years ago
3 0

The measure of ∠A is 106°.

Quadrilateral ABCD is inscribed in this circle.

To find out the measure of LA:

We are given that, 'Quadrilateral ABCD is inscribed in the circle'.

So, we get that,

'ABCD is a cyclic quadrilateral' that is The sum of the opposite interior angles is 180°.

Thus, we have,

∠A +∠C = 180°

i.e. ∠A + 74° = 180°

i.e. ∠A = 180° - 74°

i.e. ∠A = 106°

Thus, the measure of ∠A is 106°.

Hence the answer is the measure of ∠A is 106°.

To learn more about quadrilateral measures click here brainly.com/question/2548902

#SPJ9

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