Question 762660
From what you have stated I am guessing that you were given a 4 sided polygon with interior angles of 58, 147, 2R & 3R.
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If that is the case, then the 2 & 3 are just multipliers. To make the angle larger.
You were on the right track to find the value of R but you need to do a few more steps.
{{{360 = 58 + 147 + 2R + 3R}}}
Combine like terms.
{{{360 = 205 + 5R}}}
Subtract 205 from both sides.
{{{155 = 5R}}}
Divide both sides by 5.
{{{highlight(31 = R)}}}.
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Since you know the value of R, you can go back and check the problem.
{{{360 = 58 + 147 + 2R + 3R}}}
{{{360 = 58 + 147 + 2*(31) + 3*(31)}}}
{{{360 = 58 + 147 + 62 + 93}}}
{{{360 = 360}}}