Mathematics
Grade9
Easy
Question
The measure of
is _________.

- 45°
- 55°
- 135°
- 60°
Hint:
In the question we have to find the angle BCD, which belongs to triangle BDC. Also AB is parallel to DC So, using the theorem alternate interior angles are equal we can find angle BDC , now in the triangle two sides are equal so the angles opposite will also be equal. This will help us to find the required angle.

The correct answer is: 45°
The measurement of
is___45
___.

APQ,
AB is parallel to DC,
So,
=45
In
,
BD=BC
So,
(angles opposite to the equal sides are equal.)
Related Questions to study
Mathematics
How are
and
related to each other?

How are
and
related to each other?

MathematicsGrade9
Mathematics
The lines x and y are _________ to each other.

The lines x and y are _________ to each other.

MathematicsGrade9
Mathematics
Find the value of x.

Find the value of x.

MathematicsGrade9
Mathematics
The hands of the clock are ____________.

The hands of the clock are ____________.

MathematicsGrade9
Mathematics
Find
.

Find
.

MathematicsGrade9
Mathematics
The angles
and
are ________.

The angles
and
are ________.

MathematicsGrade9
Mathematics
Find the measure of x.

Find the measure of x.

MathematicsGrade9
Mathematics
Identify the lines parallel to b.

Identify the lines parallel to b.

MathematicsGrade9
Mathematics
The north-south needle and the east-west needles are ________.

The north-south needle and the east-west needles are ________.

MathematicsGrade9
Mathematics
Which pair of lines are intersecting?

Which pair of lines are intersecting?

MathematicsGrade9
Mathematics
Can you identify the lines perpendicular to x.

Can you identify the lines perpendicular to x.

MathematicsGrade9
Mathematics
Two figures are congruent if they have______.
Two figures are congruent if they have______.
MathematicsGrade9
Mathematics
The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

MathematicsGrade9
Mathematics
In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB

In fig., if AB = AC and PB = QC, then by which congruence criterion is PBC ≅ QCB

MathematicsGrade9
Mathematics
In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.

In an isosceles triangle ABC with AB = AC, if BD and CE are the altitudes, then BD and CE are______.

MathematicsGrade9