Question #03d3a

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Answer 1 · 2017-11-06T05:09:17

$38° and 142°$

Let $x$ be the first angle.

The second angle is $10°$ less than four times the first.
In terms of $x$ , the second angle is:
$4x - 10$ .

We're told that the sum of the two angles is $180°$ .
This can now be written as the equation:
$180 = x + 4x - 10$

Solve for x:

$180 = 5x - 10$

$x = (180+10)/5$

$x = 38°" "$ (this is our first angle)

Since we already have an expression for our second angle in terms of $x$ , we can simply substitute this value to find the second angle:

$4x - 10$

$=4(38) - 10$

$= 142°" "$ (second angle)