Question

A pentagon has three angles that measure 118°, 84°, and 84°. The two remaining angles have the same measure. How should the measure of the two remaining angles be found?

1. Find the sum of the interior angles: (4 minus 2) 180 degrees = 360 degrees
2. Subtract the given angle measures: 360 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 74 degrees
1. Find the sum of the interior angles: (4 minus 2) 180 degrees = 360 degrees
2. Subtract the given angle measures: 360 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 74 degrees
3. Divide by 2 to find the angle measure: 74 degrees divided by 2 = 37 degrees
1. Find the sum of the interior angles: (5 minus 2) 180 degrees = 540 degrees
2. Subtract the given angle measures: 540 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 254 degrees
1. Find the sum of the interior angles: (5 minus 2) 180 degrees = 540 degrees
2. Subtract the given angle measures: 540 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 254 degrees
3. Divide by 2 to find the angle measure: 254 degrees divided by 2 = 127 degrees

Answer 1

answer

1. Find the sum of the interior angles: (4 minus 2) 180 degrees = 360 degrees

2. Subtract the given angle measures: 360 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 74 degrees

1. Find the sum of the interior angles: (4 minus 2) 180 degrees = 360 degrees

2. Subtract the given angle measures: 360 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 74 degrees

3. Divide by 2 to find the angle measure: 74 degrees divided by 2 = 37 degrees

1. Find the sum of the interior angles: (5 minus 2) 180 degrees = 540 degrees

2. Subtract the given angle measures: 540 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 254 degrees

1. Find the sum of the interior angles: (5 minus 2) 180 degrees = 540 degrees

2. Subtract the given angle measures: 540 degrees minus 118 degrees minus 84 degrees minus 84 degrees = 254 degrees

3. Divide by 2 to find the angle measure: 254 degrees divided by 2 = 127 degrees

Answer 2

${\huge{\fcolorbox{purple}{pink}{\fcolorbox{yellow}{red}{\bf{\color{white}{ǫᴜᴇsᴛɪᴏɴ}}}}}}$

A pentagon has three angles that measure 118°, 84°, and 84°. The two remaining angles have the same measure. How should the measure of the two remaining angles be found?

${\huge{\fcolorbox{purple}{pink}{\fcolorbox{yellow}{red}{\bf{\color{white}{ᴀɴsᴡᴇʀ}}}}}}$

sum of all angles of a quadrilateral is 360°

three angles are 55° 115° 84

fourth angle 360 - (55+115+84)

360-254

106