ALGEBRA 1

posted by .

FOUR OF THE ANGLES OF A PENTAGON HAVE THE MEASURE 30,70, 120, AND 165. TO FIND THE MEASURE OF THE FIFTH I ADD THE FOUR MEASURES WHICH IS 385 AND SUBTRACT IT FROM 540 WHICH IS
540-385=135 WOULD THIS BE CORRECT.
IS THERE A FOMULA THAT I NEED TO USE TO ARRIVE AT MY ANSWER ? Thanks

That's almost correct. You have the right idea except 540 - 385 does not equal 135. Subtract that again and you'll get it.

You are also right that sum of the angles in a pentagon is 540. To figure that out, take the amount of sides the shape has and multiply that by 180. Then subtract 360 from that.

So the pentagon has 5 sides. 5*180 = 900. Subtract 360 and you have 540.

If it had 100 sides, the sum of all the angles would be

100*180 = 18000.
18000-360 = 17640

Now, good luck drawing the 100 sided figure :)

Matt

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra.

    problems about angles: Hi. I needed help on some problems for the math section that we are doing in class. I am trying out some problems in my math book, but they prove quite difficult. 1. In a certain parallelogram, if the measure …
  2. geometry

    If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°.how would you find the measure of the fifth angle?
  3. geometry

    if the sum of the measure of four angles of a pentagon is 396, determine the measure of the fifth angle
  4. geometry

    one interior angle of a pentagon has a measure of 120 degree. the other four interior angles are congruent to each other. What is the measure of one of the four congruent angles?
  5. geometry

    If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle. Show equations and work that lead to your answer.
  6. 7th grade math Ms. Sue please

    2. Find the sum of the interior angles of a nonagon. (1 point) 140° 1,620° 1,260° 1,450° 4. Find the measure of each interior angle of a polygon with 12 sides. (1 point) 1,800° 150° 180° 145° 5. Four of the angles of a pentagon …
  7. Math

    Four of the angles of a pentagon measure 85 degrees, 110 degrees, 135 degrees, and 95 degrees. Find the measure of the missing angle. A. 115 degrees B. 95 degrees C. 135 degrees D. 85 degrees Is the answer D?
  8. maths

    The four angles of a pentagon is 40 degrees ,75 degrees ,125 degrees and 135 degrees .the measure of the fifth angle is ?
  9. Math please helppp

    1 Find the missing angle measure in the polygon A ] 77 B ] 87 C ] 97 D ] 107 i think its b 2 Find the sum of the interior angles in 10 - sided polygon A ] 1,260 B ] 1,440 c ] 1,620 d ] 1,800 i think its c or b 3 Find the measure of …
  10. Geometry

    I really need help with this question :( A pentagon has two exterior angles that measure (3x), two exterior angles that measure (2x + 22) and an exterior angle that measure (x + 41). If all of these angles have different vertices, …

More Similar Questions