The measure of an angle is five times its complement. The angle measures (a) 25 &#x2218; b) 35 &#x2218; c) 65 &#x2218; d) 75 &#x2218;

Question

The measure of an angle is five times its complement. The angle measures  (a)         25     &amp;#x2218;      b)         35     &amp;#x2218;      c)         65     &amp;#x2218;      d)         75     &amp;#x2218;

antipornofsc2 · Accepted Answer

Let the measure of the required angle be x.  Then, the measure of its complement will be 90-x.  According to the question, we have the measure of angle     &amp;#x21D2;   x   =   5   (   90   &amp;#x2212;   x   )      &amp;#x21D2;   x   =   450   &amp;#x2212;   5   x      &amp;#x21D2;   6   x   =   450      &amp;#x2234;   x   =        75     &amp;#x2218;

The measure of an angle is five times its complement. The angle measures (a) 25...

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