Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
- m∠ACD + x + x = 180° ⇒
- m∠ACD = 180° - 2x
Consider ΔBEC
<u>Since BE = EC, the opposite angles are congruent:</u>
<u>Then:</u>
<u>Find the angle BEC:</u>
- m∠BEC = 180° - (x + x) = 180° - 2x
<u>Comparing the above we see that:</u>
Answer:
The measure of angle x is 
Step-by-step explanation:
In this problem we know that
The tangent of angle x is equal to divide the opposite side angle x to the adjacent side angle x
Answer:
0.45
Step-by-step explanation:
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°
Answer:
24.8188888889
Step-by-step explanation:
4.4674/0.18=24.8188888889
