Answer:
The value of x is 4.
Step-by-step explanation:
Given:
In ΔABC
m∠A = 10x+9
m∠B = 34°
m∠C = 97°
To Find:
x= ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
[tex]\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=\dfrac{40}{10}=4\\\\\therefore x=4[/tex]
The value of x is 4.