Answer:
Step-by-step explanation:
I hope I helped you^_^
Looking at the triangle we see the angles:
58, x
We also see a right angle, therefore you now have:
90, 58, 0
All three angles of a triangle should have a total of 180 degrees, so we add the known angles and subtract the total from 180.
90 + 58 = 148
180 - 148 = 32
Therefore, x = 32 or C
First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).
Your equation should look like this: m∠AEB = m∠DEC
Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:
(3x + 21) = (2x + 26)
Subtract 2x from both sides.
x + 21 = 26
Subtract 21 from both sides.
x = 5
Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.
m∠AEB = 3(5) + 21
15 + 21 = 36
m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.
Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.
36 + m∠AED = 180
Subtract 36 from both sides.
m∠AED = 144°
Answer:
x = 15
arc PQ = 110°
ΔPQR is an acute triangle
Step-by-step explanation:
(6x) + (8x-10) + (10x+10) = 360°
combine like terms:
24x = 360°
x = 15
arc PQ = 8(15) - 10° = 110°
Well since angle 1 and 2 are vertical angles 1=2 , 2=1 angle 3 is congruent to angle 2 which also equals 108* so if I'm not mistaking angle 3=108* also. HOPE THIS HELPS!!!!!! XD
