Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. **Hint: Think of how many degrees it takes for a full circle rotation (this will help figure out angle A. Then use your understanding of supplementary angles to find angle B.

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step-by-step explanation:

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c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.