Question

Can someone please help me i’m not doing so well in this new topic

Answer 1

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

Answer 2

See answer below

Explanation:

If ΔHIJ ≅ ΔPQR ,then you know six congruent parts:

∠H ≅ ∠P ; ∠I ≅ ∠Q; ∠J ≅ ∠R and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

∠H ≅ ∠P ∠I ≅ ∠Q

2x = x + 40° ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80° Δ HIJ = 180°

∠P = x + 40 = 40 + 40 = 80° ∠H + ∠I + ∠J = 180°

∠Q = 35° 80° + 35° + ∠J = 180°

∠ I = 35° 115° + ∠J = 180°

∠ J = 65° ∠J = 65°

∠R = 65° ∠J ≅ ∠R