How many degrees are in the sum of the measures of complementary angles?

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Answer 1 · 2018-05-07T01:54:45

Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees.

Answer 2 · 2018-05-07T02:11:44

$90^{o}$ $90^o$

Recall, sum of complementary angles are $90^{o}$ $90^o$

Assuming each complementary angles are $x$ $x$

Then;

$x + x = 90^{o}$ $x + x = 90^o$

$2 x = 90^{o}$ $2x = 90^o$

$x = 45^{o}$ $x = 45^o$

Therefore one of the complementary angle is $45^{o}$ $45^o$

Hence sum of both angles are $45^{o} + 45^{o} = 90^{o}$ $45^o + 45^o = 90^o$

Complementary angles sum can't be more than $90^{o}$ $90^o$