Question

(U2.04 LC)

In ACAB, if MzA= 10x +9, m_B = 34°, and mzC =97", what is the value of x?
Ox=2
Ox=3
Ox=4
fion
Question 1 (Answered)
v 07​

Answer 1

The value of x is 4.

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°.

`\angle A+\angle B+\angle C=180\\\\10x+9+34+97=180\\\therefore 10x=180-140=40\\\\\therefore x=(40)/(10)=4\\\\\therefore x=4`

The value of x is 4.