Parts of a Triangle: Calculate Angles in Quadrilaterals

Classify a triangle by its sides Finding the ratio between dimensions in a triangle Finding the size of angles in a triangle Identifying and defining elements Identifying sides in a triangle Identifying the median in a triangle Identifying the sides in a triangle using median and height Identify the greater value Is it possible...?Median in an isosceles triangle - properties Median in a right-angled triangle True / false Using angles in a triangle Using parallel lines Using properties of the median Using the median to calculate the perimeter Using the theorem: The median of a triangle divides it into two triangles of the same area

Question 1

The quadrilateral ABCD is shown below.

ΔADC is isosceles.

AD = AC

Calculate the size of the angle $\( ∢ABC \)$ .

Question 2

Below is the quadrilateral ABCD.

EBC is an equilateral triangle.

Calculate the size of angle $\( ∢ADC \)$ .

Question 3

Look at the quadrilateral below.

AC||BD

Calculate the the size of the angle $∢\text{BAC}$ .

Examples with solutions for Parts of a Triangle: Calculate Angles in Quadrilaterals

Exercise #1

The quadrilateral ABCD is shown below.

ΔADC is isosceles.

AD = AC

Calculate the size of the angle $∢ABC$ .

Video Solution

Answer

94

Exercise #2

Below is the quadrilateral ABCD.

EBC is an equilateral triangle.

Calculate the size of angle $∢ADC$ .

Video Solution

Answer

115

Exercise #3

Look at the quadrilateral below.

AC||BD

Calculate the the size of the angle $∢\text{BAC}$ .

Video Solution

Answer

73