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jesh0975556
jesh0975556
07.10.2020 • 
Mathematics

Drag an answer to each box to complete this paragraph proof. Given: Triangle ABC Prove: m∠A=64° Triangle A B C with angle B being the right angle. Angle A measures open parenthesis 4 x close parenthesis degreed. Angle B measures open parenthesis x plus 10 close parenthesis degrees. By the triangle sum theorem, the sum of the angles in a triangle is equal to Response area. Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.

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