a) What is the measure of the other remote interior angle in the given figure? b) What is the measure of theexterior angle? c) What is the measure of the other acute angle?

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ngiqulelexvg · Accepted Answer

Step 1Consider the figureStep 2Exterior angle theorem:the exterior angle of a triangle is equal to the sum of two remote interior angles.Step 3a)From the figure,by using exterior angle theoremm∠D=m∠B+m∠C(x+126)∘=90∘+(2x)∘2x−x=126−90x=36∘m∠C=(2x)∘=(2×36)∘m∠C=72∘

Donovan Acevedo · Accepted Answer

Step 4 b) What is the measure of the exterior angle?m∠D=(x+126)∘=(36+126)∘m∠D=162∘c) What is the measure of the other acute angle?m∠A+m∠B+m∠C=180∘m∠A+90∘+72∘=180∘m∠A=180∘−90∘−72∘m∠A=18∘

a) What is the measure of the other

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