Question

find X in the following figure​

Answer 1

As sum of all angles of a triangle is 180⁰

given one angle is 90⁰

and both angles are 90⁰ (45⁰+45⁰)

Given one angle = 7x-2⁰

another angle = 5x+8⁰

So,

7x-2⁰=5x+8⁰

7x-5x=8⁰+2⁰

2x=10⁰

x=5⁰ Ans

Answer 2

Answer:

angle A = 47°

angle B = 43°

angle C = 90° (given)

Step-by-step explanation:

We know that

angle A + angle B + angle C = 180 (in a triangle the angles add up to 180 )

7x - 2 + 5x + 8 + 90 = 180

12x + 96 = 180

12x = 84

x = 84 / 12 = 7

x = 7

So,

angle A = 7(7) - 2 = 49 - 2 = 47°

angle B = 5(7) + 8 = 35 + 8 = 43°

angle C = 90° (given)

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