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If 5∠A = 3∠B = ∠C, ∠A and ∠B are complementary angles, then the measure of ∠A, ∠B and ∠C are respectively VALUE OF A,B AND C 280°, 57°, 160°(a) 33.75°, 56.25°, 168.75°(B) 281°, 56°, 168°(C) 271.50°, 58.25°, 160.75°(D) |
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Answer» GIVEN : 5∠A = 3∠B = ∠C, ∠A and ∠B are complementary angles To Find : MEASURE of ∠A, ∠B and ∠C Solution: 5∠A = 3∠B = ∠C ∠A and ∠B are complementary angles, complementary angles, which adds up to 90° ( Right angle ) ∠A + ∠B = 90° => 3∠A + 3∠B = 270° => 3∠A + 5∠A = 270° => 8∠A = 270° => ∠A = 270°/8 => ∠A = 135°/4 => ∠A = 33.75° ∠A + ∠B = 90° => 33.75°+ ∠B = 90° => ∠B = 56.25° ∠C = 5∠A = 5 * 33.75° => ∠C = 168.75° A = 33.75°, B = 56.25°, C = 168.75° Learn More: if X and y are complementary angles then x+y = ? - Brainly.in find and measure of an angle which is complement itself - Brainly.in |
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