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ryzh [129]
3 years ago
14

Consider the figure. Determine the value of w.​

Mathematics
2 answers:
n200080 [17]3 years ago
7 0

Answer:

  • 43°

Step-by-step explanation:

<u>We observe on the picture that:</u>

  • (12x + 11)° and  47°  are  vertical angles and vertical angles are equal as per definition
  • Angle w° is complementary angle with (12x + 11)° and complementary angles add to 90° as per definition

<u>Therefore</u>

  • w = 90°- (12x + 11)°
  • w = 90° - 47°
  • w = 43°

AlekseyPX3 years ago
3 0

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

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