∠bec is formed inside a circle by two intersecting chords. if minor arc bd = 94 and minor arc ca = 166, what is the measure of ∠ bec?

The measure of ∠BEC = 50°.

Step-by-step explanation:

Since we have given that

∠BEC is formed inside a circle by two intersecting chords.

and the value of minor arc BD = 94

The value of major arc CA = 166

We need to find the measure of ∠ BEC.

As we know theorem, the angle AEC is equal to half the sum of the intercepted arcs.

We will use to  find the intercepted angles when two chords got intersected i.e.

Since ∠ AEC and ∠BEC are supplementary angles.

So, it becomes,

Hence, the measure of ∠BEC = 50°.

mx+89b(-98)nb

step-by-step explanation:

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.