Advertisements
Advertisements
Question
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
Advertisements
Solution
Exterior angle is equal to the sum of the opposite interior angles
∠LNO = ∠MLN + ∠LMN
6x – 5 = 100° – x + 2x
6x – 5 + x – 2x = 100°
6x + x – 2x = 100° + 5°
5x = 105°
x = `(105^circ)/5` = 21°
x = 21°
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
In the isosceles triangle ABC, ∠A, and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x − 17)° and (8x + 10)°, respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.
Using the diagram find the value of x.
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
From the given figure, the value of x is ______.
In ∆ABC, ∠Α = 50°, ∠B = 70° and bisector of ∠C meets AB in D (see figure). Measure of ∠ADC is ______.
In the following figure,
- ∠TPQ = ∠ _____ + ∠ _____.
- ∠UQR = ∠ _____ + ∠ _____.
- ∠PRS = ∠ _____ + ∠ _____.
In the following figure, if RP = RQ, find the value of x.
