Advertisements
Advertisements
प्रश्न
Find the value of x in the following figure.
Advertisements
उत्तर
In the given figure, ∠BAC = 80°, ∠ABC = 30°, ∠ACE = x and ∠ECD = 90°
In ΔABC, we know that, exterior angle is equal to the sum of interior opposite angles.
∴ ∠ACD = ∠CAB + ∠ABC
⇒ ∠ACE + ∠ECD = 80° + 30° ...[∵ ∠ACD = ∠ACE + ∠ECD]
⇒ ∠ACE + 90° = 110° ...[∵ ∠ECD = 90°]
⇒ ∠ACE = 110° – 90° = 20°
APPEARS IN
संबंधित प्रश्न
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
Using the given figure find the value of x.
Find the value of ‘x’ in the given figure
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to ______.
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, ∆PQR is right-angled at P. U and T are the points on line QRF. If QP || ST and US || RP, find ∠S.
What is the measure of an exterior angle if its adjacent interior angle measures 65∘?
If all three sides of a triangle are extended, how many distinct exterior angles are formed in total?
