Question

Given RST = NPQ R=-7x+9, N=-10x find R and N

Answer 1

30

Explanation:

Answer 2

`m\angle N=m\angle R=30^(\circ)`

Explanation:

We are given that

`\triangle RST=\triangle NPQ`

`m\angle R=-7x+9,m\angle N=-10x`

We have to find the measure of angle R and measure of angle N.

When two triangles are equal then their angles are equal

Therefore,
`m\angle R=m\angle N`

`-7x+9=-10x`

`-7x+10x=-9`

By subtraction property of equality

`3x=-9`

By combine like terms

`x=(-9)/(3)=-3`

By division property of equality

Substitute x=-3 then we get

`m\angle R=-7(-3)+9=21+9=30^(\circ)`

`m\angle N=m\angle R=30^(\circ)`