90 degrees equals a right angle or a complimentary angle.
Answer:
Lines p and q and parallel as angle 1 = angle 2 (congruent to)
Step-by-step explanation:
Angle one and angle 2 are alternate exterior angles
Answer:
Translation and dilation.
Step-by-step explanation:
<em>Figure 1</em> shows Circles A (red) and B (blue) before any transformations.
<em>Step 1</em>. Translate the centre of circle A from (4,5) to (1,7).
The circles are now concentric <em>(Fig. 2)</em>.
Step 2. Dilate the radius of Circle A by a factor of 9/3.
r₁×9/3 ⟶ r₂, so every point of the dilated circle coincides with an identical point on Circle B <em>(Fig. 3).
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The translation, followed by a dilation with scale factor r₂/r₁, mapped Circle A onto Circle B, so <em>the two circles are similar</em>.
Since AED forms a straight line, all involved angles sum to 180°. Therefore AEB + BED = 180. Also, since EC bisects BED, BEC = CED, and BED = 2× CED. Now to substitute the first equation:
AEB + BED = 180
AEB + 2×CED = 180
11x-12 + 2(4x+1) = 180
11x-12+8x+2 = 180
19x-10 = 180
19x-10+10 = 180+10
19x = 190
x = 10
So what is m<AEC?? It is the sum of AEB + BEC, and since BEC = CED we can say that:
AEC = AEB + CED
AEC = 11x-12 + 4x+1 = 15x-11 = 15(10)-11 = 150-11
m<AEC = 139°