28.03.2023 - 17:02

In triangle XYZ the measure of angle X equals 34 degrees and the measure of angle Z equals 38 degrees find the measure of angle Y.

Question:

In triangle XYZ the measure of angle X equals {eq}34 ^{circ} {/eq} and the measure of angle Z equals {eq}38 ^{circ} {/eq} find the measure of angle Y.

Answers (1)
  • Henrietta
    April 9, 2023 в 12:10
    We know that the sum of the angles in a triangle is equal to {eq}180^circ{/eq}. Therefore: {eq}begin{aligned} \text{ angle X} + \text{ angle Y} + \text{ angle Z} &= 180^circ \ 34^circ + \text{ angle Y} + 38^circ &= 180^circ \ \text{ angle Y} &= 180^circ - 34^circ - 38^circ \ \text{ angle Y} &= 108^circ end{aligned} {/eq} Therefore, the measure of angle Y is {eq}108^circ {/eq}.
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