Advertisements
Advertisements
Question
Compute the value of x in the following figure:
Advertisements
Solution
In the given problem, we need to find the value of x
In the given figure, ∠BAD = 52° and ∠DCE = 40°
Here,AB || CD and AD is the transversal, so ∠EDC and ∠BAD form a pair of alternate interior angles. Therefore, using the property, “alternate interior angles are equal”, we get,
∠EDC = ∠BAD
∠EDC = 52°
Further, applying angle sum property of the triangle
In ΔDEC
∠DEC + ∠DCE + ∠EDC = 180°
∠DEC + 40° + 52° = 180°
x + 92° = 180°
x = 180° - 92°
x = 88°
Therefore, x = 88°
APPEARS IN
RELATED QUESTIONS
The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles.
Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle.
Fill in the blank to make the following statement true:
A triangles cannot have more than ......obtuse angles.
In the given figure, compute the value of x.
Calculate the unknown marked angles of the following figure :
One angle of a right-angled triangle is 70°. Find the other acute angle.
Classify the following triangle according to angle:
In the following figure, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.
What is the sum of the measures of the interior angles of any triangle, △ABC?
