50 points answer angie and becky each completed a separate proof to show that the measures of vertical angles akg and hkb are equal. who completed the proof incorrectly? explain. line ab intersecting line gh at k angie's proof statement justification 1. segment gh intersects segment ab at k 1. given 2. m∠akg + m∠gkb = 180° m∠gkb + m∠hkb = 180° 2. definition of supplementary angles 3. m∠akg + m∠ gkb = m∠gkb + m∠hkb 3. substitution property 4. m∠akg = m∠hkb 4. subtraction property becky's proof statement justification 1. segment gh intersects segment ab at k 1. given 2. m∠akg + m∠gkb = 180° m∠gkb + m∠hkb = 180° 2. angle addition postulate 3. m∠akg + m∠ gkb = m∠gkb + m∠hkb 3. substitution property 4. m∠akg = m∠hkb 4. subtraction property

line AB intersecting line GH at K

Angie's Proof

Statement Justification

1. Segment GH intersects segment AB at K 1. Given

2. m∠AKG + m∠GKB = 180°

m∠GKB + m∠HKB = 180° 2. Definition of Supplementary Angles

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB 3. Substitution Property

4. m∠AKG = m∠HKB 4. Subtraction Property

Step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

c

step-by-step explanation: