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Marina CMI [18]
2 years ago
13

What is the measure of < DBC

Mathematics
2 answers:
solniwko [45]2 years ago
6 0

Answer:

The answer is C

Step-by-step explanation:

notsponge [240]2 years ago
3 0

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

 In diagram ∠D B C + ∠A B D = 90°

                       6 x+5 + 8 x +1 = 90

                       14 x + 6 = 90

                      14 x = 90 -6

                      14 x = 84

                    <em>     x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em>  ∠A B D = 8(6) +1  = 49°</em>

<em>∠D B C + ∠A B D =  41° + 49° = 90°</em>

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