Completing a proof
mikal is proving that ae
ce
reasons
statements
1. ab cd
1. given
2. given
h
2. 2abe and cde are right
angles
3. łabe cde
4. 2aeb and ced are
vertical angles
5. aeb = _ced
6. aabe 2 acde
7 ae ce
3. all right angles are a
4 definition of vertical
angles
5. vertical angles theorem
7. cpctc
which reason does the represent in mikal's proot?
sas
sss
asa
79

kbmflmklbhml; bmlzb; bdhzz

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

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.

a

step-by-step explanation: