Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 5°, what is mangleCYD + mangleFZE?

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Answer 1 · 2018-06-22T13:41:29

$170^{\circ}$ $170^circ$

This question is a bit mangled, ha, ha.

Let's call the angles $X, Y$ $X, Y$ and $Z$ $Z$ for sanity.

$X$ $X$ and $Y$ $Y$ complementary means

$X + Y = 90^{\circ}$ $X+Y=90^circ$

Similarly,

$X + Z = 90^{\circ}$ $X+Z=90^circ$

$X = 5^{\circ}$ $X=5^circ$

$Y = Z = 85^{\circ}$ $Y=Z=85^circ$

$Y + Z = 85^{\circ} + 85^{\circ} = 170^{\circ}$ $Y+Z=85^circ+85^circ=170^circ$