aamaldon7728
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

1. find measure of A.

2. find measure of B.

3. find measure of C

4. find measure of D

pls give picture and explanation

1 Find Measure Of A 2 Find Measure Of B 3 Find Measure Of C 4 Find Measure Of D Pls Give Picture And Explanation class=

Sagot :

janafaroukjeje2007

Answer:

Measure of angle A = 120°

Measure of angle B = 98°

Measure of angle C = 104°

Measure of angle D = 140°

Step-by-step explanation:

  • Find measure angle A :-

Since the two straight lines are parallel

, then A + 12X =180° (alternate angles)

, then A = 180° - 12X

Since the two straight lines are parallel

, then measure angle A = measure angle (25X-5)°

(opposite angles)

, then 180° - 12X = 25X - 5° (solve it like a normal equation)

, then 180° + 5° = 25X + 12X

, then 185° = 37X

, then X = 185° ÷ 37

= 5

, then measure of angle A = 180° - ( 12 x 5 )

= 180° - 60°

, then measure angle A = 120°

  • Find measure angle B :-

Since the two straight lines are parallel

, then measure angle B = measure angle 14X (corresponding angles)

, then 15X - 7 = 14X

, then 15X - 14X = 7

, then X = 7

Since X =7

, then measure angle B = (15 x 7) - 7

= 105° - 7

, then measure angle B = 98°

  • Find measure angle C :-

Since the two straight lines are parallel

, then measure angle C = 8X

(opposite angles)

, then 5X + 39 = 8X

, 39 = 8X - 5X

, 39 = 3X

, then X = 39 ÷ 3

, X = 13

Since X = 13

, then measure angle C = (5 x 13) +39

= 65 + 39

, then measure angle C = 104°

  • Find measure angle D :-

Since straight that angle D lies on = 180°

, then sum of measure of and D and 4X =

180°

, then (12X + 20) + 4X = 180°

, then 16X + 20 = 180°

, then 16X = 160° (resulting from 180° - 20°)

, then X = 10

Since X = 10

, then 12 x 10 + 20 = 120 + 20

,the measure angle D = 140°

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.