Question

two complementary angles is (x+5)° and (2x-20)° find the value of x​

Answer 1

Answer:

x+5+2x-20=90. (sum of complementary angles is 90°)

3x=105

x=35

Answer 2

Given:

• two complementary angles is (x+5)° and (2x-20)°

To Find:

• value of x

Solution:

$\sf \: \hookrightarrow \: Sum \: of \: complementary \: angles \: \\ \sf is \: always \: 90°$

Therefore,

$\rightarrow \sf \: (x + 5) + (2x - 20) = 90 \\ \rightarrow\sf x + 5 + 2x - 20 = 90 \\ \rightarrow \sf 3x - 15 = 90 \\ \rightarrow \sf \: 3x = 105 \\ \boxed{ \bf \red {x = 35}}$

$\sf Angles \: will \: be \hookrightarrow$

$\sf \: x + 5 = 35 + 5 = 40 \\ \sf 2x - 20 = 2(35) - 20 = 70 - 20 = 50$

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