Find two consecutive positive integers such that the sum of their squares is 145
1 answer:
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Answer: x = 12
<u>Step-by-step explanation:</u>
a) Linear Pair: 110° + ∠a = 180° --> ∠a = 70°
b) congruent sides implies congruent angles --> ∠b = 70°
c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180
70° + 70° + ∠c = 180°
∠c = 40°
d) Complimentary Angles: ∠c + ∠d = 90°
40° + ∠d = 90°
∠d = 50°
∠2) Linear Pair: ∠d + ∠2 = 180°
50° + ∠2 = 180°
∠2 = 130°
x) m∠2 = 130°
10x + 10 = 130°
10x = 120
x = 12
