Question #53506

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Answer 1 · 2017-10-12T11:32:48

$x=65 degrees$

Two angles are complementary when they add to 90 degrees.
Let "c" be the complementary angle.

$x+c=90$

The angle X is 15 more than (means "plus") than 2 times the complement

$x=2c+15$

Substitute

$[2c+15] + c=90$

$3c+15=90$

$3c+15-15=90-15$

$3c=75$

$(3c)/3=75/3$

$c=25$

Substitute into original formula
$x+25=90$
$x+25-25=90-25$
$x=65$