Given: a convex n-gon
Prove: The sum of the measures of the exterior angles is 360°
Complete the missing parts of the paragraph proof.
For a convex n-gon, interior and exterior angles form
v angles, whose measures sum to 180°.
Because we have an n-gon, the sum of the measures of these linear pairs, one exterior angle at each vertex, is
The sum of the measures of the interior angles is
by the polygon interior angle sum theorem.
To find the measure of the exterior angles, we can subtract the sum of the measures of the interior angles from the
sum of the measures of the linear pairs. Therefore, we have
, which is equal to 360°.
Done

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.

true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.