If two complementary angles measure 2 x-7- and x-4-then x-A- 34-B- 33-C- 31-D- 30-

The correct option is C 31^∘ We know that, sum of 2 complimentary angles is 90^∘ ⇒ (2x 7)^∘+(x+4)^∘=90^∘ 2x 7+x+4 = 90^∘ 3x 3 = 90^∘ 3x = 93^∘ x = 31^∘. ...

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Standard VI

Mathematics

Complementary Angles

If two comple...

Question

If two complementary angles measure $(2 x - 7)^{\circ}$ and $(x + 4)^{\circ}$ ,then x = ___.

$33^{\circ}$

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$34^{\circ}$

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$31^{\circ}$

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$30^{\circ}$

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Solution

The correct option is C
$31^{\circ}$

We know that, sum of 2 complimentary angles is $90^{\circ}$

$\Rightarrow (2 x - 7)^{\circ} + (x + 4)^{\circ} = 90^{\circ}$

$2 x - 7 + x + 4 = 90^{\circ}$

$3 x - 3 = 90^{\circ}$

$3 x = 93^{\circ}$

$x = 31^{\circ} .$

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If two complementary angles measure (2x−7)∘ and (x+4)∘,then x = ___.

The correct option is C 31∘ We know that, sum of 2 complimentary angles is 90∘ ⇒(2x−7)∘+(x+4)∘=90∘ 2x−7+x+4=90∘ 3x−3=90∘ 3x=93∘ x=31∘.

If two complementary angles measure $(2 x - 7)^{\circ}$ and $(x + 4)^{\circ}$ ,then x = ___.

The correct option is C
$31^{\circ}$

We know that, sum of 2 complimentary angles is $90^{\circ}$

$\Rightarrow (2 x - 7)^{\circ} + (x + 4)^{\circ} = 90^{\circ}$

$2 x - 7 + x + 4 = 90^{\circ}$

$3 x - 3 = 90^{\circ}$

$3 x = 93^{\circ}$

$x = 31^{\circ} .$