5. Your friend drew the figure that includes a straight line PXZ and AXYZ. She said that the measure of angle a will always be equal to the sum of the measures of angle b plus angle c. Justify why the statement is either true or false. P. X с b Z Y

we need the options

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.