Question

if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?

Answer 1

3x-4 + 4x+10 = 90
=>
7x + 6 = 90
=>
7x = 84 => x = 84/7 = 12

<2 = 4x + 10 = 4*12 + 10 = 48 + 10 = 58

The answer is: 58

Answer 2

The measure of ∠ 2 in 58° .

Explanation:

As given

if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .

As shown in the picture given in the question

90° + ∠1 + ∠2 = 180°

(By linear pair property)

Put the value of ∠1 and ∠2 in the above

90° + (3x -4)° + (4x+10)°= 180°

90 + 3x -4 + 4x + 10 = 180

7x + 6 = 180 - 90

7x + 6 = 90

7x = 90 -6

7x = 84

`x = (84)/(7)`

x = 12

Put the value of x in the (4x+10)° .

∠2 = (4 × 12 + 10)°

∠2 = 58°

Therefore the measure of ∠ 2 in 58° .