<p>If the angles of a measure x, y and z, and these measures are in the ratio of 3:4:5. respectively, what is the value of z?</p>
<p>A) 45
B) 60
C) 75
D) 90
E) 105</p>
<p>Where did you find it, is it meant triangle angles, if it is, than the answer is c).</p>
<p>Woo yeah my bad I completely omitted triangles -.-. Yeah that’s the answer, how did you do it?</p>
<p>The ratio of the three angles of a triangle are 3:4:5
We also know that the sum of the angles of a triangle is 180.</p>
<p>Therefore, to get the value of the largest ratio which is 5 (z), we do the following:</p>
<p>(180x5)/(3+4+5) = 75 -> Cross multiplication.</p>
<p>Its the same thing, but this is how I look at it:
3x + 4x +5x = 180 (all angles in a triangle add up to 180)
12x = 180
x = 15</p>
<p>so the z angle in the ratio 3:4:5 would be 5x which is 75.</p>