Answer:
The measure of angle DPA is 39°
Step-by-step explanation:
step 1
Find the value of x
we know that
arc AB+arc BC+arc CD+arc DA=360°
substitute the values
(5x+10)°+(x+1)°+3x°+(3x+25)°=360°
Solve for x
(12x+36)°=360°
12x=360°-36°
x=324°/12=27°
step 2
Find the measure of angle DPA
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠DPA=(1/2)[arc DA-arc BC]
arc DA=3(27)+25=106°
arc BC=27+1=28°
substitute the values
m∠DPA=(1/2)[106°-28°]=39°
14 and 15 are both choice B
Hi!
Your answer would be: B-1
Reason being: Using P.E.M.D.A.S., we divide 42 (or, w) by 6, which equals 7.
now, 7 minus 6 equals 1.
__________________________________________________________
42/6-6
=7-6
=1
__________________________________________________________ Therefore, the answer is B/1.
Hope this helps!
<em>Yours truly,</em>
<h2 /><h2>
<em>~~~PicklePoppers~~~</em></h2>
Angle 1 and Angle 3
This is because the two angels are congruent due to the consecutive angles theorem,