Please answer question 16(3.4) 16. Point B varies on ray AD, A-C-D and LECD < 90. What can be said about the3.4 Exterior Angle Inequality165nint B varies on ray AD, A-C-D and mLECD < 90. What can be said about therange of values possible for y(a) A-B-C (as shown)?= MLBEC if%3D(b) A-C-B?E30°ACD*17. If AWKT has acute angles at K and T, and if WR I KT, show that R lies betweenK and T. (If R does not lie between K and T, then either K-T-R or R-K-T; show ineither case that a contradiction to the Exterior Angle Theorem occurs.)*An important result of absolute geometry often taken for granted.WW90°T RKT K18. In ASKL we know that mZ1 + mL2<180 by the corollary of the ExteriorAngle Inequality mentioned in this section. Show that if the rays at K and L thatdouble" Z1 and 22 meet at W (i.e., rays KS and LS bisect ZWKL and ZWLK),then mL1 + mL2 < 90.W

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Description: Please answer question 16(3.4) 16. Point B varies on ray AD, A-C-D and LECD < 90. What can be said about the3.4 Exterior Angle Inequality165nint B varies on ray AD, A-C-D and mLECD < 90. What can be said about therange of values possible for y(a) A-B

Consider the given: (a) If A-B-CLet us consider the two limiting cases:i) When B coincides on…

Answered: 16. Point B varies on ray AD, A-C-D and…

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16. Point B varies on ray AD, A-C-D and LECD < 90. What can be said about the range of values possible for y = MLBEC if (a) A-B-C (as shown)? (b) А-С-В? 30 A D.

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Question

Please answer question 16(3.4)

16. Point B varies on ray AD, A-C-D and LECD < 90. What can be said about the
3.4 Exterior Angle Inequality
165
nint B varies on ray AD, A-C-D and mLECD < 90. What can be said about the
range of values possible for y
(a) A-B-C (as shown)?
= MLBEC if
%3D
(b) A-C-B?
E
30°
A
C
D
*17. If AWKT has acute angles at K and T, and if WR I KT, show that R lies between
K and T. (If R does not lie between K and T, then either K-T-R or R-K-T; show in
either case that a contradiction to the Exterior Angle Theorem occurs.)
*An important result of absolute geometry often taken for granted.
W
W
90°
T R
K
T K
18. In ASKL we know that mZ1 + mL2<180 by the corollary of the Exterior
Angle Inequality mentioned in this section. Show that if the rays at K and L that
double" Z1 and 22 meet at W (i.e., rays KS and LS bisect ZWKL and ZWLK),
then mL1 + mL2 < 90.
W

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