Question 1096624

- Find the measure of each angle
angle ABC and angle CBD are complementary angles, m angle ABC=(3x+6)degrees, and m angle CBD=(4x-14)degrees

stuck on this problem, Thank you for any help!
<pre>The angles are COMPLEMENTARY, which means that they SUM to 90<sup>o</sup>
Therefore, we get: &#8737ABC + &#8737CBD = 90<sup>o</sup>
3x + 6 + 4x - 14 = 90 ------ Substituting 3x + 6 and 4x - 14 for &#8737s ABC and CBD
7x = 98
{{{matrix(1,5, x, "=", 98/7, "=", 14^o)}}}
Measure of &#8737ABC: {{{highlight_green(matrix(1,5, 3(14) + 6, "=", 42 + 6, "=", 48^o))}}}
Measure of &#8737CBD: {{{highlight_green(matrix(1,5, "4(14) - 14,", "or", 90 - 48, "=", 42^o))}}}