Tag: acute and obtuse angles

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Questions Related to acute and obtuse angles

Multiple choice maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

The difference between two angles is $19$$\displaystyle ^{o}$ and their sum is $\displaystyle \frac{890}{9}^o$. Find the greater angle.

  1. $63^o$
  2. $35^o$
  3. $27^o$
  4. $59^o$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Let the two angles be $a$ and $b$

Then, 
$a  - b = 19$

and, $a + b = \dfrac{890}{9}$

Adding the two equations,

$2a = \dfrac{890 + 19\times 9}{9}$

$2a = \dfrac{1061}{9}$

Thus, $a = \dfrac{1061}{18}$

$a \approx 59^{\circ}$
Multiple choice maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

If two angles of a triangle are acute angles, the third angle:

  1. is less than the sum of the two angles

  2. is an acute angle

  3. is the largest angle of the triangle

  4. may be an obtuse angle
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
For a triangle $ABC$, sum of angles is $180^0$
Two angles are given as acute, $\angle A, \angle B < 90^0$
$\angle A = 90^0 - x$
$\angle B = 90^0 - y$
where, $x,y < 90^0$
$\therefore \angle A + \angle B+ \angle C = 180^0$
$\Rightarrow \angle C = x+y $
$x+y$ can be $>90^0$ or $<90^0$
So, it may be obtuse or acute.
Hence, option D.
Multiple choice maths complementary angle, supplementary angles and adjcent angles acute and obtuse angles types of angle measurement of an angle

An angle which measures $\displaystyle 0^{o}$ is called:

  1. obtuse angle

  2. straight angle

  3. zero angle

  4. right angle
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

An angle which measure $0^0$ is called zero angle.

An angle which measure more than $0^o$ and less than $90^o$ is an acute angle.
An angle which measures $90^o$ is called a right angle.
An angle which measure more than $90^o$ and less than $180^o$ is an obtuse angle.

Hence, the answer is zero angle.

Multiple choice maths construction of angles identifying angles acute and obtuse angles types of angle

An angle whose measure is the sum of the measures of two right angles is _______.

  1. Acute

  2. Obtuse

  3. Right

  4. Straight
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Measure of a right angle is $90^ \circ$

Measure of a straight angle is $180^ \circ$
Sum of the measure of two right angles is $(90+90)^ \circ=180^ \circ$
Thus an angle whose measure is the sum of two right angles is $Straight$

Multiple choice maths construction of angles identifying angles acute and obtuse angles types of angle

Based on the angle measures given, which triangle is not acute?

  1. $35^\circ,\, 69^\circ,\, 76^\circ$
  2. $60^\circ,\, 60^\circ,\, 60^\circ$
  3. $88^\circ,\, 46^\circ,\, 46^\circ$
  4. $90^\circ,\, 45^\circ,\, 45^\circ$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For acute angles triangle all the three angles must be less than ${ 90 }^{ \circ  }$.

In option $D$ one of the angle is ${ 90 }^{ \circ  }$ , so it is not acute angles triangle.