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suter [353]
3 years ago
9

In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 120°, the measure of (DB) ̂ is (2x)° and the mea

sure of ∠AEC is (4x)°. What is the degree measure of ∠ AED?

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

The measure of angle < AED is 100\°

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

so

m

substitute the values and solve for x

4x=\frac{1}{2}(120\°+2x)

8x=(120\°+2x)

8x-2x=120\°

6x=120\°

x=20\°

m

m -----> by supplementary angles

substitute value

80\°+m

m

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