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The diagram shown is two intersecting lines. The measure of 5 is 47°.


Please solve this on paper! I'll give brainliest to the best explanation. Thank you so much <3

The diagram shown is two intersecting lines The measure of 5 is 47 Please solve this on paper Ill give brainliest to the best explanation Thank you so much lt3 class=

Respuesta :

Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

  • ∠7 = 47°
  • It is equal to 47 degrees, because the when a transversal cuts through a straight line, the angles which lay opposite to each other are equal

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

  • 47 + 2x - 5 = 180

(c) Solving for x :

  • 2x + 42 = 180
  • 2x = 138
  • x = 69°

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