Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
Answer:
1.875 commercials a minute
Step-by-step explanation:
1/9 of the original pie is each slice
Answer:
60
Step-by-step explanation:
<u>Step 1: Solve for x</u>
x + 3x + 2x = 180
6x / 6 = 180 / 6
x = 30
<u>Step 2: Find the measure of angle C</u>
Angle C = 2x
Angle C = 2(30)
Angle C = 60 degrees
Answer: 60
Answer:A=5z-4y/x
Step-by-step explanation:
You must bring 4y over first making it negative then to separate the x from the A you have to divide